1) Use the midpoints of 10 rectangles to estimate 1+9x?

Q: Show that among all rectangles with an 8-m perimeter, the one with largest area is a square.

A: Let l be the length and b be the breadth of the rectangle.

Q: Consider a sheet of metal in the form of a right triangle with base 36 inches and height  20 inches.…

A: Consider a sheet of metal in the form of a right triangle with base 36 inches and height 20 inches…

Q: A farmer is building a fence to enclose a rectangular area consisting of two separate regions. The…

A: Consider x to be the length and y to be the width of the rectangular region as shown below.

Q: Show that of all the rectangles with a given perimeter,the one with greatest area is a square.

A: Let the perimeter P is given.  Let, length = x and width= y So, 2(x+y)=P Or, x+y=P/2 Or, y= (P/2) -…

Q: Determine the sum of all the vertex angles in a concave octagon.

A: The sum of all the interior angles in a concave polygon is equal to (n-2)×180°. Here, n = no. of…

Q: Prove that of all rectangles with given perimeter, the square has the greatest area.

A:

Q: Show that the rectangle which has maximum area for a given perimeter is a square.

A: This problem can be solved by expressing the area of the rectangle as a function of single variable…

Q: Which set(s) of tiles could be used to make a perfect square?

A: We have to choose

Q: 7. Use the moving and additivity principles to de- termine the area, in square inches, of the shaded…

A: we first assume a big square outside. That has sides= 2 inchesSo area of it = 2x2 = 4 square inches

Q: 2. The sides of a rectangle ar measured to be 1 cm and 2 cm with a possible error of 0.001 cm for…

A: Given the two sides of a rectangle : Length (l) = 2 cm Width (w) = 1 cm The possible error for each…

Q: Find the area of the triangle formed by the points (8,-5),(-2,-7) and (5,1) by using Heroines…

A:

Q: Determine the dimensions of the rectangle of largest area that can be inscribed in the right…

A: Given: AF=4, AD=5, and DF=3. AC= (4-h) and DE= (3-w) Therefore,

Q: Show that all the rectangles with a given perimeter , the square has the largest area

A:

Q: A rectangle is inscribed in a right triangle. If the triangle has sides of length 5, 12, and 13,…

A: Let x and y be the length and breadth of the rectangle inscribed in the triangle. Let us take the…

Q: What are the right and left endpoints if [2, 5] is divided into six subintervals?

A:

Q: Show that among all rectangles with a given perimeter, the square is the one with the maximum area.

A: A rectangle is a quadrilateral whose opposite sides are equal and parallel to each other. The…

Q: Find the area of the largest rectangle that can be inscribed in an equilateral triangle of side…

A: Given: A rectangle inscribed in an equilateral triangle of side L assuming one side of the rectangle…

Q: A square with side length 3ft. and a circle with center in one vertex of square and radius…

A:

Q: Find the area of the largest rectangle that can be inscribed ina right triangle with legs of lengths…

A: Let x and y be the length and width of the rectangle that is inscribed in a right triangle. The…

Q: Determine the dimensions of the rectangle of largest area that can be inscribed in the right…

A: In the given figure, marking the points: Given:

Q: Find the rectangle whose vertex is haveng on possible max comum area

A:

Q: determine the sum of the measures of the interior angels of an octogon

A:

Q: Find the area of the parallelogram formed by the points (-1, 2, 3), (10, 10, 0), (4, 5, 2), (5, 7,…

A: We have to find the area of the parallelogram formed by the points (-1, 2, 3), (10, 10, 0), (4, 5,…

Q: 5. Determine the area of the largest rectangle inscribed in a semi-circle of radius 2.

A:

Q: 13 Find the area of the rectangle of largest area that can be inscribed in a semicircle of radius 6.

A: We first consider a semicircle with center at (0,0) and radius = 6  It will have equation:

Q: What is the largest area of a rectangle that could be inscribed in a semi circle having a radius of…

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the circle is given…

Q: Compute the area of the polygon with vertices at (6,1) (3,-10) (-3,-5) and (-2,0)

A: To Compute the area of the polygon with vertices at (6,1) (3,-10) (-3,-5) and (-2,0)

Q: 5. A farmer wishes to fence off a rectangular region next to a straight wall. The side of the…

A:

Q: 2. Show that of all rectangles with diagonal of length c, the square has the largest area.

A: All rectangles with diagonal of length c, the square has the largest area.

Q: Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

A:

Q: Find the area of the largest rectangle that can be inscribed in asemicircle of radius r

A:

Q: Find the maximal area of a right triangle with hypotenuse of length 2.

A: Given:     Hypotheses length = 1

Q: Show that of all n-gons having the same perimeter, the regular n-gon has the greatest area.

A: All n-gons having the same perimeter

Q: How many small cubes with edge of 20 cm each can be just accomodated in a cubical box of 2 m edge

A:

Q: Prove that among all rectangles with area 100 square units,the square has the smallest perimeter.

A: The area of the rectangle is defined as the product of length and breadth of the rectangle, whereas…

Q: Determine the dimensions of the rectangle of largest area that can be inscribed in the right…

A: Given the figure:

Q: Determine the dimensions of the rectangle of rectangle of the largest area that can be inscribed in…

A:

Q: 1. In quadrilateral ABCD, mLA 80, mZB=2.x, m2C=x and mZD=4x.Find x.

A: As per Bartley guidelines we are supposed to answer only one question per post.  This post contains…

Q: 3. A sheet of cardboard 3ft by 4ft will be made into a box by cutting equal-sized squares from each…

A: NOTE: Refresh your page if you can't see any equations. . the length, width, and height of the box…

Q: Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

A: Let base of the rectangle = 2x and height = y

Q: 5. Prove analytically that the medians of an equilateral triangle are altitudes.

A:

Q: 4. What is the area of an inscribed regular n-gon ( n-sided polygon with equal sides and angles), in…

A:

Q: 5.58 Show that: (a) a parallelogram with given side lengths has the largest area if it is a…

A: a parallelogram with given side lengths has the largest area if it is a rectangle

Q: Since a line segment is defined by two distinct points, therefore the total number of line segments…

A:

Q: 5. Prove that the diagonals of any parallelogram divide the parallelogram into 4 triangles of equal…

A:

Q: What is the perfect square larger than 16?

A: This question is based on perfect square . If we consider just larger than 16 then our answer will…

Q: Find the area (in cm^2) of the largest rectangle that can be inscribed in a right triangle with legs…

A:

Q: 2. Among all rectangles that have perimeter of (54+0) ft, find the dimensions of the one with…

A:

Q: 2. Find the area of the largest square that can be cut from a circle of radius of 4 in.

A: given,

Q: what do researchers do to create a design requiring a two-way chi square?

A: The two-way chi square is also known as chi-square test for independence. It is a procedure for…