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10th Edition

Jerome E. Kaufmann + 1 other

Publisher: Cengage Learning

ISBN: 9781285195728

Chapter 6.5, Problem 51PS

Textbook Problem

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For Problems
**(Objective 2)**

A rectangular plot of ground measuring 12 meters by 20 meters is surrounded by a sidewalk of a uniform width (see Figure 6.9). The area of the sidewalk is 68 square meters. Find the width of the walk.

To determine

**To find:**

The width of the walk.

**Procedure used:**

The Pythagoras theorem states that the square of the longest side called hypotenuse of the right triangle is equal to the sum of squares of other two sides called legs is given by,

Where

The property of factoring is,

**Given:**

A rectangular plot of ground measuring 12 meters by 20 meters is surrounded by a sidewalk of a uniform width. The area of the sidewalk is 68 square meters.

**Calculation:**

The rectangular plot of ground surrounded by a side walk is given as,

Figure (1)

Consider

The length and width of the outer rectangle are given by,

And,

The area of the sidewalk is the difference of the outer rectangle and inner rectangle as shown below,

Substitute the values of

Divide the above equation by 4 both sides,

Intermediate Algebra

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Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - A 5-inch by 7-inch picture is surrounded by a...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 41-68, set up an equation and solve...Ch. 6.5 - For Problems 41-68, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - How would you solve the equation x24x=252? Explain...Ch. 6.5 - Explain how you would solve (x2)(x7)=0 and also...Ch. 6.5 - One of our problem-solving suggestions is to look...Ch. 6.5 - Can a quadratic equation with integral...Ch. 6.5 - For Problems 7379, solve each equation....Ch. 6.5 - For Problems 7379, solve each equation. x4x+3=0Ch. 6.5 - For Problems 7379, solve each equation. x+x2=0Ch. 6.5 - For Problems 7379, solve each equation. x23+x136=0Ch. 6.5 - For Problems 7379, solve each equation....Ch. 6.5 - For Problems 7379, solve each equation. x2+4x112=0Ch. 6.5 - For Problems 7379, solve each equation....Ch. 6.5 - For Problems 8088, solve each equation. (5x+6)12=xCh. 6.5 - For Problems 8088, solve each equation. (3x+4)12=xCh. 6.5 - For Problems 8088, solve each equation. x23=2Ch. 6.5 - For Problems 8088, solve each equation. x25=2Ch. 6.5 - For problems 8088, solve each equation. (2x+6)12=xCh. 6.5 - For Problems 8088, solve each equation. (2x4)23=1Ch. 6.5 - For Problems 8088, solve each equation. (4x+5)23=2Ch. 6.5 - For Problems 8088, solve each equation....Ch. 6.5 - For Problems 8088, solve each equation....Ch. 6.6 - For Problems 110, answer true or false. When...Ch. 6.6 - For Problems 110, answer true or false. The...Ch. 6.6 - For Problems 110, answer true or false. The...Ch. 6.6 - For Problems 110, answer true or false. The...Ch. 6.6 - For Problems 110, answer true or false. The number...Ch. 6.6 - For Problems 110, answer true or false. The...Ch. 6.6 - For Problems 110, answer true or false. The...Ch. 6.6 - For Problems 110, answer true or false. The...Ch. 6.6 - For Problems 110, answer true or false. The...Ch. 6.6 - For Problems 110, answer true or false. The...Ch. 6.6 - For problems 112, solve each inequality and graph...Ch. 6.6 - For Problems 112, solve each inequality and graph...Ch. 6.6 - For Problems 112, solve each inequality and graph...Ch. 6.6 - For problems 112, solve each inequality and graph...Ch. 6.6 - For Problems 112, solve each inequality and graph...Ch. 6.6 - For Problems 112, solve each inequality and graph...Ch. 6.6 - For Problems 112, solve each inequality and graph...Ch. 6.6 - For Problems 112, solve each inequality and graph...Ch. 6.6 - For problems 112, solve each inequality and graph...Ch. 6.6 - For problems 112, solve each inequality and graph...Ch. 6.6 - For problems 112, solve each inequality and graph...Ch. 6.6 - For problems 112, solve each inequality and graph...Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For Problems 1338, solve each inequality....Ch. 6.6 - For Problems 13-38, solve each inequality....Ch. 6.6 - For Problems 13-38, solve each inequality....Ch. 6.6 - For Problems 13-38, solve each inequality....Ch. 6.6 - For Problems 13-38, solve each inequality....Ch. 6.6 - For Problems 13-38, solve each inequality....Ch. 6.6 - For Problems 13-38, solve each inequality....Ch. 6.6 - For Problems 13-38, solve each inequality....Ch. 6.6 - For Problems 13-38, solve each inequality....Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - For Problem 3956, solve each inequality. Objective...Ch. 6.6 - For Problem 3956, solve each inequality. Objective...Ch. 6.6 - For Problem 3956, solve each inequality. Objective...Ch. 6.6 - For Problem 3956, solve each inequality. Objective...Ch. 6.6 - For Problem 3956, solve each inequality. Objective...Ch. 6.6 - For Problem 3956, solve each inequality. Objective...Ch. 6.6 - For Problem 3956, solve each inequality. Objective...Ch. 6.6 - For Problem 3956, solve each inequality. Objective...Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - Explain how to solve the inequality...Ch. 6.6 - Explain how to solve the inequality (x2)20 by...Ch. 6.6 - Your friend looks at the inequality 1+1x2 and,...Ch. 6.6 - Why is the solution set for (x2)20 the set of all...Ch. 6.6 - Why is the solution set for (x2)20 the set {2}?Ch. 6.6 - The product (x2)(x+3) is positive if both factors...Ch. 6.S - Subtract: (43i)(8+5i)Ch. 6.S - Write 24 in terms of i and simplify.Ch. 6.S - Simplify: 369Ch. 6.S - Find the product (6+5i)(3i).Ch. 6.S - Find the quotient 3+i52i.Ch. 6.S - Solve 5x214x3=0.Ch. 6.S - Solve 4(x3)2=20.Ch. 6.S - Solve x28x5=0.Ch. 6.S - Solve 2x2+3x7=0.Ch. 6.S - Use the discriminate to determine the nature of...Ch. 6.S - Solve x26x+14=0.Ch. 6.S - Find the length of each leg of an isosceles right...Ch. 6.S - Find two consecutive whole numbers such that the...Ch. 6.S - Solve x22x150.Ch. 6.S - Solve 2x1x+70.Ch. 6.CR - For Problems 14, perform the indicated operations...Ch. 6.CR - For Problems 14, perform the indicated operations...Ch. 6.CR - For Problems 14, perform the indicated operations...Ch. 6.CR - For Problems 14, perform the indicated operations...Ch. 6.CR - For Problems 58, write each expression in terms of...Ch. 6.CR - For Problems 58, write each expression in terms of...Ch. 6.CR - For Problems 58, write each expression in terms of...Ch. 6.CR - For Problems 58, write each expression in terms of...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 19 and 20, perform the indicated...Ch. 6.CR - For Problems 19 and 20, perform the indicated...Ch. 6.CR - For Problems 2124, solve each of the quadratic...Ch. 6.CR - For Problems 2124, solve each of the quadratic...Ch. 6.CR - For Problems 2124, solve each of the quadratic...Ch. 6.CR - For Problems 2124, solve each of the quadratic...Ch. 6.CR - For Problems 2528, use Property 6.1 to help solve...Ch. 6.CR - For Problems 2528, use Property 6.1 to help solve...Ch. 6.CR - For Problems 2528, use Property 6.1 to help solve...Ch. 6.CR - For Problems 2528, use Property 6.1 to help solve...Ch. 6.CR - For Problems 2932, use the method of completing...Ch. 6.CR - For Problems 2932, use the method of completing...Ch. 6.CR - For Problems 2932, use the method of completing...Ch. 6.CR - For Problems 2932, use the method of completing...Ch. 6.CR - For Problems 3336, use the quadratic formula to...Ch. 6.CR - For Problems 3336, use the quadratic formula to...Ch. 6.CR - For Problems 3336, use the quadratic formula to...Ch. 6.CR - For Problems 3336, use the quadratic formula to...Ch. 6.CR - For Problems 3740, find the discriminant of each...Ch. 6.CR - For Problems 3740, find the discriminant of each...Ch. 6.CR - For Problems 3740, find the discriminant of each...Ch. 6.CR - For Problems 3740, find the discriminant of each...Ch. 6.CR - For Problems 4159, solve each equation. x217x=0Ch. 6.CR - For Problems 4159, solve each equation. (x2)2=36Ch. 6.CR - For Problems 4159, solve each equation. (2x1)2=64Ch. 6.CR - For Problems 4159, solve each equation. x24x21=0Ch. 6.CR - For Problems 4159, solve each equation. x2+2x9=0Ch. 6.CR - For Problems 4159, solve each equation. x26x=34Ch. 6.CR - For Problems 4159, solve each equation. 4x=x5Ch. 6.CR - For Problems 4159, solve each equation. 3n2+10n8=0Ch. 6.CR - For Problems 4159, solve each equation. n210n=200Ch. 6.CR - For Problems 4159, solve each equation. 3a2+a5=0Ch. 6.CR - For Problems 4159, solve each equation. x2x+3=0Ch. 6.CR - For Problems 4159, solve each equation. 2x25x+6=0Ch. 6.CR - For Problems 4159, solve each equation. 2a2+4a5=0Ch. 6.CR - For Problems 4159, solve each equation. t(t+5)=36Ch. 6.CR - For Problems 4159, solve each equation. x2+4x+9=0Ch. 6.CR - For Problems 4159, solve each equation....Ch. 6.CR - For Problems 4159, solve each equation. 3x+2x+3=1Ch. 6.CR - For Problems 4159, solve each equation....Ch. 6.CR - For Problems 4159, solve each equation. 3n2=n+54Ch. 6.CR - For Problems 60-70, set up an equation and solve...Ch. 6.CR - For Problems 60-70, set up an equation and solve...Ch. 6.CR - One leg of an isosceles right triangle measures 4...Ch. 6.CR - For Problems 60-70, set up an equation and solve...Ch. 6.CR - For Problems 60-70, set up an equation and solve...Ch. 6.CR - For Problems 60-70, set up an equation and solve...Ch. 6.CR - For Problems 60-70, set up an equation and solve...Ch. 6.CR - For Problems 60-70, set up an equation and solve...Ch. 6.CR - For Problems 60-70, set up an equation and solve...Ch. 6.CR - For Problems 6070, set up an equation and solve...Ch. 6.CR - For Problems 6070, set up an equation and solve...Ch. 6.CR - For Problem 7178, solve each inequality and...Ch. 6.CR - For Problem 7178, solve each inequality and...Ch. 6.CR - For Problem 7178, solve each inequality and...Ch. 6.CR - For Problem 7178, solve each inequality and...Ch. 6.CR - For Problem 7178, solve each inequality and...Ch. 6.CR - For Problem 7178, solve each inequality and...Ch. 6.CR - For Problem 7178, solve each inequality and...Ch. 6.CR - For Problem 7178, solve each inequality and...Ch. 6.CT - Find the product (34i)(5+6i), and express the...Ch. 6.CT - Find the quotient 23i3+4i, and express the result...Ch. 6.CT - For Problems 315, solve each equation. x2=7xCh. 6.CT - For Problems 315, solve each equation. (x3)2=16Ch. 6.CT - For Problems 315, solve each equation. x2+3x18=0Ch. 6.CT - For Problems 315, solve each equation. x22x1=0Ch. 6.CT - For Problems 315, solve each equation. 5x22x+1=0Ch. 6.CT - For Problems 315, solve each equation. x2+30x=224Ch. 6.CT - For Problems 315, solve each equation. (3x1)2+36=0Ch. 6.CT - For Problems 315, solve each equation....Ch. 6.CT - For Problems 315, solve each equation....Ch. 6.CT - For Problems 315, solve each equation. n(3n2)=40Ch. 6.CT - For Problems 315, solve each equation. x4+12x264=0Ch. 6.CT - For Problems 315, solve each equation. 3x+2x+1=4Ch. 6.CT - For Problems 315, solve each equation. 3x22x3=0Ch. 6.CT - Does the equation 4x2+20x+25=0 have (a) two...Ch. 6.CT - Does the equation 4x23x=5 have (a) two nonreal...Ch. 6.CT - For Problems 1820, solve each inequality and...Ch. 6.CT - For Problems 1820, solve each inequality and...Ch. 6.CT - For Problems 1820, solve each inequality and...Ch. 6.CT - For Problems 2125, set up an equation and solve...Ch. 6.CT - For Problems 2125, set up an equation and solve...Ch. 6.CT - For Problems 21-25, set up an equation and solve...Ch. 6.CT - For Problems 2125, set up an equation and solve...Ch. 6.CT - For Problems 2125, set up an equation and solve...Ch. 6.CM - For Problems 16, evaluate each of the numerical...Ch. 6.CM - For Problems 16, evaluate each of the numerical...Ch. 6.CM - For Problems 16, evaluate each of the numerical...Ch. 6.CM - For Problems 16, evaluate each of the numerical...Ch. 6.CM - For Problems 16, evaluate each of the numerical...Ch. 6.CM - For Problems 16, evaluate each of the numerical...Ch. 6.CM - For Problems 714, evaluate each algebraic...Ch. 6.CM - For Problems 714, evaluate each algebraic...Ch. 6.CM - For Problems 714, evaluate each algebraic...Ch. 6.CM - For Problems 714, evaluate each algebraic...Ch. 6.CM - For Problems 714, evaluate each algebraic...Ch. 6.CM - For Problems 714, evaluate each algebraic...Ch. 6.CM - For Problems 714, evaluate each algebraic...Ch. 6.CM - For Problems 714, evaluate each algebraic...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - Simplify the complex fraction. 34x+7911253xCh. 6.CM - For Problems 2835, factor completely....Ch. 6.CM - For Problems 2835, factor completely. 81m29n2Ch. 6.CM - For Problems 2835, factor completely. 2x213x7Ch. 6.CM - For Problems 2835, factor completely. 12y2+28y5Ch. 6.CM - For Problems 2835, factor completely. 6t2+34t56Ch. 6.CM - For Problems 2835, factor completely. c2y6Ch. 6.CM - For Problems 2835, factor completely. 8h214h15Ch. 6.CM - For Problems 2835, factor completely. a3+8b3Ch. 6.CM - For Problems 3658, solve each equation....Ch. 6.CM - For Problems 3658, solve each equation....Ch. 6.CM - For Problems 3658, solve each equation. t5+t3t30=1Ch. 6.CM - For Problems 3658, solve each equation....Ch. 6.CM - For Problems 3658, solve each equation....Ch. 6.CM - For Problems 3658, solve each equation. A=P+Prt...Ch. 6.CM - For Problems 3658, solve each equation. 3x4=4Ch. 6.CM - For Problems 3658, solve each equation. 10x33=3Ch. 6.CM - For Problems 3658, solve each equation. 4c2=43Ch. 6.CM - For Problems 3658, solve each equation. x+3+5=x+48Ch. 6.CM - For Problems 3658, solve each equation....Ch. 6.CM - For Problems 3658, solve each equation. 3x=x10Ch. 6.CM - For Problems 3658, solve each equation. (4x3)25=20Ch. 6.CM - For Problems 3658, solve each equation. 6x2+7x20=0Ch. 6.CM - For Problems 3658, solve each equation....Ch. 6.CM - For Problems 3658, solve each equation. P=2l+2w...Ch. 6.CM - For Problems 3658, solve each equation. |9x2|=0Ch. 6.CM - For Problems 3658, solve each equation. |4x+7|3=12Ch. 6.CM - For Problems 36-58, solve each equation....Ch. 6.CM - For Problems 36-58, solve each equation....Ch. 6.CM - For Problems 36-58, solve each equation. a+44=3aCh. 6.CM - For Problems 36-58, solve each equation....Ch. 6.CM - For Problems 36-58, solve each equation....Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 7180, solve by setting up and solving...Ch. 6.CM - For Problems 7180, solve by setting up and solving...Ch. 6.CM - For Problems 7180, solve by setting up and solving...Ch. 6.CM - For Problems 7180, solve by setting up and solving...Ch. 6.CM - For Problems 7180, solve by setting up and solving...Ch. 6.CM - For Problems 7180, solve by setting up and solving...Ch. 6.CM - For Problems 7180, solve by setting up and solving...Ch. 6.CM - solve by setting up and solving an appropriate...Ch. 6.CM - For Problems 7180, solve by setting up and solving...Ch. 6.CM - For Problems 7180, solve by setting up and solving...

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