The Pentagon is one of the largest office buildings in the world in terms of ground area. The perimeter of the building has the shape of a regular pentagon with each side 921.6 feet long. Find the area enclosed by the perimeter of the building. Use your knowledge of precalculus to solve the problem, not Google.

Q: A farmer wishes to enclose a plot of land according to the figure. If he has 450 feet of fencing,…

A: Given: Width=x Length=y

Q: The bases of an isosceles trapezoid measure 20 units and 30 units. while the height is 10 units.…

A:

Q: The perimeter of an equilateral triangle is 36 inches. find the length of an altitude.

A:

Q: Find the semiperimeter (half the perimeter) of an isosceles triangle whose base is 10 and the height…

A:

Q: WHat are the dimensions of a rectangle whose perimeter is 56ft. and whose area is 180 sq. ft.?

A: Let x and y be the length and breadth of rectangle respectively. Firsstly, we use the formula for…

Q: A baseball "diamond" actually forms a square, each side measuring 30 yards. How far, to the nearest…

A: For the following question for baseball yard

Q: An isosceles trapezoid has a perimeter of 51 inches. One of the legs is 11 inches, and one of the…

A:

Q: The hypotenuse of an isosceles right triangle is 6 feet long. What is the length of one leg?

A:

Q: An equilateral triangle has a height of 2√3 inches. What is the area of the triangle?

A:

Q: The figure below is a regular octagon with a side length of 8 inches. To the nearest square inch,…

A:

Q: The diameter of a circle is 20 kilometers. What is the area?

A: Solution: The objective is to find the area of the circle

Q: The length of a radius of a circle inscribed in a equilateral triangle is 7 inches. Find the area of…

A: It is known that, area of a circle of radius x inscribed in an equilateral triangle is, A=πx212.…

Q: Construct a right triangle having only whole number side lengths whose hypotenuse measures 26…

A: There can be infinitile many choices for the lengths of shorter leg and longer leg of right triangle…

Q: What is the area of the triangle if the height is 6 and the base is 8?

A: This question is related to mensuration.

Q: Calculate the perimeter of a regular pentagon if the length of each side is 17.

A:

Q: The circumference of a circle is 171 m. What is the area, in square meters? Express your answer in…

A:

Q: The area of a circle is 97 square feet. What is the radius?

A:

Q: Find the area of an equilateral triangle with sides 3x - 4, and 2x+4. (Round off the final answer…

A: We have to find area of given  equilateral  triangle

Q: Find the area of a regular pentagon with a perimeter of 40 feet. Round your answer to the nearest…

A:

Q: One side of a regular hexagon is 9 units. What is the perimeter of the hexagon?

A:

Q: A stereo speaker in the shape of a triangular pyramid has a height of 6 inches. The area of the base…

A: The volume of a pyramid is calculated using the formula, V=13×Area of the base×Height .

Q: A banner is in the shape of a rectangle. It is 19 feet long and 18 feet wide. What is its perimeter?

A:

Q: The area of the wings of a small Cessna is 195 ft2. If the length is 34 ft longer than the width,…

A: We have to find out dimension of rectangle

Q: This figure consists of a rectangle and a semicircle. What is the area, in square inches of this…

A: The given figure contains the semi-circle and the rectangle. Let the width of the rectangle is 16 in…

Q: The area of the wings of a small Cessna is 195 ft2. If the length is 34 ft longer than the width,…

A:

Q: The side of a regular triangle is 2cm longer than the altitude. What is the perimeter of the…

A: Use the relation between altitude and side of a regular triangle.

Q: Find the area of an isosceles triangle whose sides are 6 and 9

A:

Q: The surface area of a rectangular prism is 2,280 square feet. If the width and height are 20 and 15…

A: Given,         The width and height are 20 and 15 feet and the length of the prism is 24 ft.

Q: The perimeter of a square is no less than 72 centimeters. How long can a side be?

A: The perimeter of a square of side x is given as, P=4x Given information: It is given that the…

Q: A decorative pillow is in the shape of a parallelogram. Its base is 28 centimeters, and its height…

A: Given, base = 28 cm height = 24.5 cm

Q: A wheelchair ramp is 9 feet long and sits 214 feet high. How long will a similar ramp be if it is…

A:

Q: The two shorter sides of a right triangle have the same length. The area of the right triangle is…

A:

Q: Find the dimensions of the largest side of a rectangular box that can be fitted to a triangular…

A:

Q: A circular racetrack has a driving lane that is 12 feet wide, in the center of the track is a grassy…

A:

Q: The circumference of a circle is 197 m. What is the area, in square meters? Express your answer in…

A: Let radius of circle be r, circumference be C and area be A. C=2πr, A=πr2

Q: The area of the wings of a small Cessna is 185 ft2. If the length is 32 ft longer than the width,…

A:

Q: What is the area of an isosceles right triangle if one of the triangle measures 4 inches?

A: The area of an  isosceles right triangle is given by: Area:

Q: The owner of the Rancho Los Feliz has 2760 yd of fencing to enclose a rectangular piece of grazing…

A: In this problem, the largest area dimension is to be determined. The figure is attached in the page…

Q: A parcel delivery service will deliver a package only if the length plus girth (distance) around…

A: Given problem is :

Q: The perimeter of a regular hexagon is 72 inches. Find the length of each of its sides.

A: Given Data: Perimeter of a regular hexagon (P)=72 inches   To Find: Sides (s)

Q: A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of…

A: The perimeter of a rectangle is P=2l+2w where l is the length and w is the width. If the perimeter…

Q: The side of a regular decagon is 9 inches. Find the perimeter.

A: Consider the figure:

Q: The diameter of a circle is 18 kilometers. What is the area? Give the exact answer in simplest form.

A:

Q: Your odometer reads 1,820 miles total for your road trip to the Grand Canyon, but your tires are…

A:

Q: One of the angles of an isosceles triangle is 120 0 , the radius of the inscribed circle is 3 . How…

A:

Q: The area of a circle is 173 square inches. Find the approximate length of its radius

A: The area of a circle is 173 square inches. Find the approximate length of its radius

Q: What is the length of the side of an equilateral triangle if the height is 6√3?

A:

Q: A jigsaw puzzle is in the shape of a regular pentagon. Find its area if its radius is 17 centimeters…

A:

Q: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

A:

Q: The base of a triangle is 25 feet shorter than its height. If the height measures 44 feet, find the…

A: Given, Triangle with, Height= 44 feet Base is 25 feet shorter than height.