Answered: A rectangle has a length 2 m less than…

A rectangle has a length 2 m less than twice its width. When 2 m are added to the width, the resulting figure is a square with an area of 36 m2. Find the dimensions of the original rectangle.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter4: Polynomials

Section4.10: Problems Without Solutions

Problem 12P

See similar textbooks

Related questions

Q: Find the dimensions of a rectangle with an area of 2568 m^2 whose perimeter is as small as possible.

Q: Find the dimensions of a rectangle with area 343 m2 whose perimeter is as small as possible.

Q: An open box is to be constructed from a square piece of sheet metal by removing a square of side 4…

A: Assume that the dimension of sheet metal = x feet

Q: Find the dimensions of a rectangle with area 216 m whose perimeter is as small as possible. (If both…

Q: A piece of land is in the shape of a parallelogram whose altitude is one-third of its base. If the…

A: Given that

Q: A rectangle having area 392 m2 is twice as long as it is wide.Find its dimensions.

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 6 cm. If the area of…

A: Given information:The top and bottom margins of a poster are each 2 cm, and the side margins are…

Q: Find the dimensions of a rectangle with area 216 m2 whose perimeter is as small as possible. (If…

Q: The open-topped box can be created by cutting squares from the four corners of a 20cm by 30cm piece…

Q: Find the dimensions of a rectangle of area 289 ft that has the smallest possible perimeter. shorter…

A: From the given problem the area of the rectangle is 289ft2. Let the sides of the rectangle is x…

Q: An open box is to be constructed from a square piece of sheet metal by removing a square of side 1…

A: Given, We know that the height of the box=1ft The dimensions of the square…

Q: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

A: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

Q: The top and bottom margins of a poster are 6 cm and the side margins are each 7 cm. If the area of…

A: To find the dimensions for minimum area, we need to find function of area in terms of either width…

Q: A rectangular garden is 5 ft longer than it is wide. Its area is 6000 ft². What are its dimensions?…

Q: If 5 cm and 3 cm are added to the length and width of a square, the perimeter of the resulting…

A: Given data: The final length of the rectangle is L=x+5. The final width of the rectangle is B=x+3.…

Q: Find the dimensions of a rectangle whose width is 7 meters less than its length, and whose area is…

A: Answer: the dimension of rectangle : length and width are as follows :

Q: The area of a rectangle is 52 m, and the length of the rectangle is 5 m less than twice the width.…

A: Use formula of area of rectangle to solve this problem.

Q: The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the area…

A: AnswerLet x,y be the length and width of printedareaGiven area of printed area A=864 cm2 xy=864…

Q: The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the area…

Q: The area of a rectangle is 45 m sqaured, and the length of the rectangle is 1 m more than twice the…

A: The area of a rectangle is 45 m square, and the length of the rectangle is 1 m more than twice the…

Q: The length of a rectangle is 4 inches longer than its width. What are the possible widths if the…

A: As we know that the expression for the area of the rectangle is: A=l×b Where, l is the length of the…

Q: Find the dimensions of a rectangle with an area of 225 cm2, whose perimeter is as small as possible.

A: Given that area of rectangle is 225 cm2.

Q: Suppose a rectangular picture frame has a thin border made from a 144-inch-long strip of bronze. If…

A: # Considering the width of border negligible Length of the strip is 144 inch Now let the length of…

Q: A rectangular soccer field is twice as long as it is wide. If the perimeter of the soccer field is…

Q: The length of a rectangle is 2 m longer than its width and the area of the rectangle is 400 m2. Find…

A: let the width is b meter then length is (b+2) meter

Q: A garden is to be laid out in a rectangular area and protected by a wire fence. What is the largest…

A: Given: We have to find the largest possible area of the rectangular garden, 100 running feet of the…

Q: The length of a rectangle is 44 m longer than its width and the area of the rectangle is 320320 m22.…

Q: The length of a rectangular pool is to be four times its width, and a sidewalk of width 6 feet will…

A: Lets assume width of a rectangular pool = x So length of a rectangular pool = 4x

Q: The length of the first side of a triangle is twice the length of the second side, and the length of…

A: We know that perimeter of triangle is , P = a + b + c Here a , b and c are the sides of triangle .

Q: . The front face of a tent is triangular and the height of the triangle is two-thirds of the base.…

A: Consider the given: The objective is the find the dimensions of the tent: Base = xHeight =…

Q: The top and bottom margins of a poster are 8 cm and the side margins are each 2 cm. If the area of…

A: Given,The printed area of the poster = 388 cm2.Let ‘x’ be the width of the printed poster.Let ‘y’ be…

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

Q: Find the dimensions of a rectangle with area 1000 square meters whose perimeter is as small as…

Q: The top and bottom margins of a poster are 8 cm and the side margins are each 2 cm. If the area of…

A: Let the width of the printed area= x And the height of the printed area=y Area of the printed…

Q: A building in a city has a rectangular base. The length of the base measures 70ft less than three…

A: Let the width be x ftlength = (3x-70) ftPerimeter = 940 ftAlos,Perimeter of rectangle = 2(l+w)…

Q: Find the dimensions of a rectangle whose perimeter is 36 m and whose area is 80 m2

A: First of all, consider the formula of perimeter for rectangle.Then put the given value of the…

Q: A rectangular garden is 5 ft longer than it is wide. Its area is 4550 ft2ft2. What are its…

Q: 4. Find the perimeter of a rectangle whose area is 84 m². The length is 5 m more than its width.

A: Let the length is L and width is b. Given: L=b+5 Area of a rectangle=84m2 As we know that the area…

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 8 cm. If the area of…

A: Given: Let x be the length ( in cm ) of the printed material and y be the width ( in cm ) of…

Q: A rectangle whose width is less than its length by 3 and its area is 4, then its length is

A: Please refer the attached image for complete solution.

Q: Find the dimensions of a rectangle with perimeter 40 whose area is as large as possible. What is the…

A: Consider the rectangle with length x and width y, then 2x+2y=40x+y=20y=20-x...1 Here, the objective…

Q: find the dimensions of a rectangle with perimeter 100m whose area is as large as possible

Q: Find the dimensions of a rectangle with a perimeter of 120 ft that has the largest possible area.

Q: A rectangular piece of fabric has a square cut out of one corner. The longer edge of the piece of…

A: Given, A rectangular piece of fabric has a square cut out of one corner. The longer edge of the…

Q: the total area of a cone is 125 pi cm^2 if its dimensions are increased to five times their original…

A: The total area of cone is A=πrr+l where r is the radius and l is the slant height.

Q: The area of a 12m x 14m playground is to be doubled by extending each side length an equal amount.…

A: Given Area=12m x 14mwhere, length=14m and width=12m

Q: The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the…

A: Let a be the width and b be the height of the poster. Let the area of the poster to be minimized be…

Q: a square lot of land has a building of 60 feet long and 40 feet wide at one corner the rest of the…

A: It is given that, the dimension of the building is 60 ft and 40 ft. The area of parking lot is 12000…

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 8 cm. If the area of…

Question

A rectangle has a length 2 m less than twice its width. When 2 m are added to the width, the resulting figure is a square with an area of 36 m2.

Find the dimensions of the original rectangle.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the dimensions of a triangle whose width is four more than six times its height and has an area of 208 square inches.
One side of a rectangle is 2 cm longer than a second side. If the area is 35cm2, find the dimensions of the rectangle.
If a triangle that has an area of 110 square feet has a base that is two feet less than twice the height, what is the length of its base and height?
The distance between opposite corners of a rectangular field is four more than the width of the field. The length of the field is twice its width, Find the distance between the opposite corners. Round to the nearest tenth.
Find the base and height of a triangle whose base is four inches more than six times height and hasan area of 456 square inches.
A ladder has 15 tapered rungs, the lengths of which increase by a common difference. The first rung is 5 inches long, and the last rung is 20 inches long. What is the sum of the lengths of the rungs?