A rectangular parcel of land is 70 ft. longer than it is wide. Each diagonal bewteen opposite corners is 130 ft. What are the dimensions of the parcel?

Q: If the area of a trapezoid is 164 ft? and the bases are 20 ft and 12.8 ft, what is the height of the…

A: We know the area of trapezium is 12sum of parallel sides ×(Distance between them)

Q: A trapezoid has an area of 72 cm2. If the altitude has a length of 6 cm and one base has a length of…

A: To Determine: A trapezoid has an area of 72 cm2. If the altitude has a length of 6 cm and one base…

Q: The height of a cup in the shape of a square pyramid is one half the length of each side. The volume…

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Q: A swimming pool is built in the shape of a rectangular parallelepiped 8 ft deep, 15 ft wide, and 20…

A: Given that: Depth of the rectangular parallelepiped: d=8 ft. Width of the rectangular…

Q: What is the length of the diagonal of a rectangle given the dimensions are 8 ft by 5 ft? Round to…

A: Given: Dimension of rectangle = 8 ft x 5 ft

Q: A rectangular table has an area of 27ft? and a perimeter of 24ft. What are the dimensions of the…

A: Given that, A rectangular table has an area of 27 ft2 and a perimeter of 24 ft.

Q: What is the radius of a cylinder if the height of the cylinder is 5cm at the bottom and 6cm at the…

A: Given:      Height of cylinder at the bottom =5 cm      Height of cylinder at the top  =6 cm…

Q: A rectangular parallelipiped is of dimensions 5cm x 2cm x 5cm. How many such rectangular…

A: This question is based on LCM (least common multiple).

Q: For a right circular cone, the slant height has a measure equal to twice that of the radius length…

A: Given a right circular cone. Whose total area is 48π in2. Slant height=Twice of radius. Let, For…

Q: A rectangular box needs to be painted. How many square inches need to be painted to cover the entire…

A: To paint the entire box, one need to find the surface area. SA=2(lw+wh+lh)

Q: A box with a square base has length plus girth of 108 in. (Girth is the distance "around" the box.)…

A: Consider the diagram, Observe that the box with a square base has length plus girth of 108 in. Here…

Q: Given a trapezoid with an area of 90 ft² and bases of 15 and 21 ft, find the length of the height.

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Q: Given the volume of a cylinder is 1,215Tt cubic inches and the radius is 9 in, find the length of…

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Q: An oil tank in the shape of a sphere has a diameter of 60 ft. How much oil does the tank contain if…

A: Given a spherical tank. Its diameter and depth are given. We need to find how much oil the tank can…

Q: Given the area of the trapezoid (2000 m^2) and the side of one base (144 m), find the length of the…

A: Given. Area of Trapezoid ABCD, A=2000m2  one base length AB=144…

Q: A cone-shaped roof has a diameter of 12 ft and a height of 8ft. If roofing material comes in 120…

A: Given: Diameter of cone is, d = 12 ft. Thus, the radius is, r = d/2 = 6 ft. The height of the roof…

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: A

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Q: A monument outside city hall has dimensions as shown in the figure below. If one gallon of paint can…

A: Surface Area

Q: A square plot of land has a building 60 ft long and 40 ft wide at one corner. The rest of the land…

A: The building will cover an area about 60×40=2400 sq ft. The parking lot covers an area about 12000…

Q: The base of a right prism is a rhombus one side of which is 10 cm, and the shorter diagonal is 12…

A: We will find the volume of the right angle prism in the following step.

Q: The sum of the radii of the bases of a frustum of a cone is 7 cm. If it has an altitude of 6 cm and…

A:

Q: A triangle has a height of 10cm more than twice the length of the base. If the area of the triangle…

A:

Q: The base edge of the right triangular prism is an equilateral triangle whose perimeter is 42cm. the…

A:

Q: For a crane to lift the beam shown to the right, the beam and the two support cables must form an…

A: Given that the distance between the cables along the beam is 18 ft and the height h is 8 ft. The…

Q: A rectangle has an area of 228 ft² and a length that measures 12ft. Find the perimeter of the…

A:

Q: A norman window consists of a rectangle surmounted by a semi-circle. If the perimeter of a norman…

A:

Q: A gardener plans to enclose a rectangular region using fencing on three sides and part of a shed on…

A: A gardener plans to enclose a rectangular region using fencing on three sides and part of a shed on…

Q: A 20​-ft by 40​-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the…

A:

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: In a two-pulley system, the centers of the pulleys are 20 in. apart. If the radius of each pulley…

A: Given that the centers of the pulleys are 20 inch apart.Also, given that the radius of each pulley…

Q: Given a square pyramid with a height of 24 ft and a volume of 4,512 cubic feet, find the length of…

A: Volume of square pyramid = 13a2h, where a = side length of square base h = height of the pyramid…

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

A:

Q: The sides of a trapezoid are each 8 cm long. How long is the 4th side, when the area of the…

A:

Q: An airplane wing casts a shadow on the ramp that is 12 ft. wide at one end, 7 ft. wide at the other…

A:

Q: A jacuzzi is in the shape of a right rectangular prism its length is 6 ft., its width is 8 ft., and…

A: Given : A jacuzzi is in the shape of a right rectangular prism, with dimensions: Length (L) = 6 ft.…

Q: The area of a triangle inscribed in a circle having a radius 9cm9cm is equal to…

A: We have to find other side of the triangle.

Q: The right triangular flag in a beach resort have legs equal to 20ft and 17 ft. How long must the…

A: Given:           The right triangular flag in a beach resort have legs equal to 20 ft and 17 ft.…

Q: A rectangular garden is 25 ft wide. If its area is 1125 ft 2 , what is the length of the garden?

A: It is given that the are of the rectangular garden is 1125 sq ft and its width is 25 ft. Thus,…

Q: A square plot of land has a building 80 ft long and 20 ft wide at one corner. The rest of the land…

A: Let x be the side of the square land area.

Q: The gasoline tank on an automobile is “box-shaped" with dimensions of 24 in. by 20 in. by 9 in. What…

A: Given: The  tank is box shaped. The dimensions of tank are 24 in. by 20 in. by 9 in.

Q: The front and back of a storage shed are shaped like a triangle with a base of 4 ft and a height of…

A:

Q: Three sides of a trapezoid are each 8cm long. How long is the 4th side, when the area of the…

A: Lets make a trapezoid ABCD.  AB   and CD a re parallel  Draw a vertical line from D  that meets at E…

Q: An artist is contracted to paint a mural on the rectangular side of a building. If the dimensions of…

A:

Q: From the point inside the square the distance to three comers are 4, 5, and 6 cm respectively. Find…

A:

Q: The length and width of a room measure 8 yards by 3 yards, and the walls of the room are 8 feet…

A: Given, 1 yard = 3 feet length = 8 yards =24 feet width = 3 yards = 9 feet height = 8 feet The total…

Q: A prism has a volume of 160 cubic units. if the base has an area of 40 square units, how tall is the…

A: Given: Volume of prism=160 unit3 Base area=40 unit2 The objective is to find the height of the…

Q: A city lot has the shape of a right triangle whose hypotenuse is 7 ft longer than one of the other…

A: Given: A city lot has the shape of a right triangle whose hypotenuse is 7 ft longer than one of the…

Q: An artist is contracted to paint a mural on the rectangular side of a building. If the dimensions of…

A: The dimensions of the wall are 149 ft by 74 ft.