The area of a circle is equal to the product of π and the square of the diameter. true or false

Q: A rectangular piece of land whose length its twice its width has a diagonal distance of 64 yards.…

A: Let the width= x yards so the length =2x yards then we use the Pythagorean theorem

Q: A rectangular room is 600 square feet in area. If the room is 50 feet longer than it is wide, what…

A: Rectangle is an Euclidean geometrical figure . It comes in the category of quadrilateral. More…

Q: The area of a triangle is 30 square meters. If the height is 4 meters shorter than the base, find…

A: Given query is to find the height and length of the base of the triangle.

Q: A rancher decides to enclose a rectangular region and 2240 feet of the new fence on the other three…

A: Given A rancher decides to enclose a rectangular region and 2240 feet of the new fence on the other…

Q: The side length of square A is (2x + 1) meters. The side length of square B is 6 meters longer than…

A: Explanation of the answer is as follows

Q: The area of the dining room of a vessel is x^3 + 3x^2 – x – 3 square meters. What are its…

A: Given area of the dinning room of a vessel is x3+3x2-x-3. Factoring the given area.…

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: When the length of each side of a square is increased by 5 inches, the area of the resulting square…

A: area of square = side *side

Q: The width of a rectangular lawn is 12 meters less than the length. Find the dimensions of the lawn…

A:

Q: A right triangle's height is 2 times the length of its base. If the area of the triangle is 36, what…

A: Consider the given information about the right angle triangle:

Q: The size of a rectangular television is usually describe in term of the length of its diagonal. If a…

A: width of screen is 14.28 inches. Explanation is given below

Q: The base of a triangle is one half of its height. If the area of the triangle is 196 find its base…

A: Given :- Area of triangle = 196 sq.mm              b = (1/2)h             h = 2b To find the value…

Q: rectangular open tank has a total surface area of 720 square cm. If the ratio of the length, width…

A: Given ratio of length , width and height  = 1:2:3   Let length of tank be L = x So , width W = 2x…

Q: The surface area of a cylinder is approximately 640.56 square meters. The radius of the cylinder is…

A:

Q: A rectangular yard has a length of 4 ft and a width of (x + 2) ft. If the area of the yard is 36 sq.…

A: A rectangular yard has a length of 4 ft. and a width of (x + 2) ft. If the area of the yard is 36…

Q: A rectangle has a length of 12 and a width of 9.  Find the length of its diagonal.

A: Given that length of a rectangle =12 width of a rectangle =9 find the length of the diagonal

Q: The size of a television screen refers to the length of its diagonal. If the length of an HDTV…

A: Given the length of TV screen=28 inches. Width of the TV screen=15.7 inches. The size of TV screen…

Q: A rectangular poster has an area of (2x + 3x - 10) square inches. What are the dimensions of the…

A: We can find the dimension of the rectangle as below.

Q: The length of a rectangle is 4ft longer than it’s width. If the perimeter of the rectangle is 36ft ,…

A: Use area formula of rectangle

Q: picture that measures 3 inches by 8 inches is placed in a frame of uniform width. If the area of the…

A:

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 size of a TV screen is given by the length of its diagonal. If the dimension of a TV screen is 8…

A: The size of TV screen is given by length of its diagonal. If the dimension of a TV screen is 8…

Q: The owner of Rancho Los Feliz has 2940 yd of fencing to enclose a rectangular piece of grazing land…

A:

Q: The length of a rectangle with an area of (x²+ 10x) square units if the width is x units is

A:

Q: A man has marked off an area in his yard where he will plant a garden. Find the dimensions of the…

A:

Q: The base of a triangle is 6 inches more than its height. If the area of the triangle is 36 square…

A:

Q: 1. The length of a rectangle is 5 inches less than twice its width. If the perimeter is 24 inches,…

A:

Q: The height of a triangle is 8 feet more than its base. What are the height and base of the triangle…

A:

Q: A rectangle is 7 cm longer than it is wide. Find the dimensions of the rectangle if its area is 337…

A:

Q: The rectangular lot has a dimension of (3x+5) meters by (2x+4) meters. If the area is equal to…

A:

Q: A midsegment is 2 times the distance of the side that is parallel to.

A: Here given that A midsegment is 2 times the distance of the side that is parallel to. But this…

Q: The area of a square is 2√2+3.What is the length of a side of the square?

A: Let us assume that the side of the square is denoted by letter 'x'.   The area of this square will…

Q: The length of a rectangle is 6 meters less than its width. Express the area of this rectangle in…

A:

Q: The length of a rectangle is 5 cm more than its width. Find its length and width when is area is 150…

A:

Q: A contractor is installing carpet in a new house. The rectangular living room has an area of 96…

A: We need to find the dimensions of room.

Q: find the radius of the circle. If the length of the side of a square is the same as the radius of a…

A: topic - square and circles

Q: A certain number added to its square is 30. Find the number.

A:

Q: If the length of a certain rectangle is  decreased by 4 feet and the width is increased by 3 feet ,…

A:

Q: The circumference of the circle and the perimeter of the rectangle are equal such that the length of…

A: The circumference of the circle and the perimeter of the rectangle are equal such that the length of…

Q: The capacity of a cylinder varies jointly with its height and the square of its radius. If a…

A: Proportionality sign is important when we say a quantity varies directly or indirectly with some…

Q: The diagonal of a square is 15 inches. Find the perimeter of this square.

A:

Q: The length of the rectangle exceeds its breadth by 3 cm. If the length and breadth are each…

A:

Q: How can I find the solution for a rectangular sign that is 3 feet longer than the width (x). If the…

A:

Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular , with three…

A:

Q: the area of a rectangle is x2+3x-40. If the length is x+8, what is its width?

A: The area function of the rectangle is given by the quadratic equation, A=x2+3x-40 The given area…

Q: 1. The length of a rectangle is 4 inches less than twice its width. If the perimeter is 18 inches,…

A: Let l be the length of the rectangle and w be the width of the rectangle. It is given that the…

Q: The cost of a square artwork of length x cm is $(x² + 4x). If an artwork costs $300, what is its…

A: Given Problem:- The cost of a square artwork of length x cm is $(x² + 4x). If an artwork costs $300,…

Q: How to find the length of a leg of a triangle if the length of the hypotenuse is 14 meters and the…

A: Find the length of a leg of a triangle if the length of the hypotenuse is 14 meters and the length…

Q: How is the area of a square related to its side length?

A: