The design of a building that has a square pyramid roof as a roof is shown. The cost of material for the outside of the building and for the roof ranges from $25 per square foot to $50 per square foot. The budget for this material is $500,000. The rectangular front of the building has a length twice as long as its height. The slant height of the roof is the same as the height of the rectangular front of the building.

The design of a building that has a square pyramid roof as a roof is shown. The cost of material for the outside of the building and for the roof ranges from $25 per square foot to $50 per square foot. The budget for this material is $500,000. The rectangular front of the building has a length twice as long as its height. The slant height of the roof is the same as the height of the rectangular front of the building.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Q: Suppose you want to build a rectangular deck in your back yard. You want it to be 6 meters wide and…

A: topic - area of rectangle

Q: A fence must be built to enclose a rectangular area of 20,000 ft². Fencing material costs $2 per…

A: Given area of Rectangle=20,000 ft2 Let L be the length and b be the breadth of the plot. L×b=20,…

Q: The shape of a barbecue pit is like a parallelogram with height of 30 in. and a base of 16 in.…

A: I am going to solve the problem by using some simple geometry to get the required result of the…

Q: Julie works at the amusement park with the maintenance crew. She needs to replace a string of…

Q: What is the length of the rectangular plot of land shpwn?

A: A rectangular plot

Q: Michael must build a rectangular storage shed. He wants the length to be 6 ft greater than the…

A: topic - perimeter of a rectangle

Q: 1) Javier wants to replace the carpet in the two bedrooms of his home. Bedroom 1: is rectangular in…

Q: Jane, an architect, is designing a skyscraper that will become part of the New York City skyline.…

A: Assume height of building to be h ft and difference in width of building and foot print to be x ft.…

Q: 5. Miranda is covering a isosceles triangular prism with fabric. The base of the isosceles triangle…

A: We have given the base and height of the isosceles triangle B = 12 cm , h = 8cm And height of the…

Q: A roof in the shape of a cone has a diameter of 15 feet and a slant geight of 18 feet. If one box of…

Q: Mike and Ike are loading a moving van by walking up a ramp. The ramp is 10.0 feet long and the bed…

Q: Ellen is drawing two polygons. One of the polygons has three more angles than the other. What shapes…

Q: A right triangle has two shorter sides that differ in length by 2 cm. The length of the hypotenuse…

Q: If a spherical tank 6 m in diameter can be filled with a liquid for $600, find the cost to fill a…

Q: Devin plans to build a wooden playhouse. The playhouse will be composed as a 0.75-m tall, 2.4-m…

Q: 50 Pat and Kim own a rectangular house that measures 50 ft. by 30 ft. They want to add on a family…

A: see below the answer area of a square is square of the sides.

Q: Allison is going camping and needs to buy a canvas tarp to cover the top of her tent,which is in the…

A: Given tent is in shape of square pyramid. A tarp is used to cover the top of the tent. => tarp…

Q: the roof of a house has a shape of a pyramid with a square base of 8m sides. the height of this…

Q: Yasmin stacks three blocks (shaped like rectangular prisms). The height of each block = 1 in The…

A: Given: Yasmin stacks three rectangular blocks wich are labeled with A, B, and C.To Find: To Find the…

Question

What is the maximum possible length of the rectangular front of the building to the nearest foot?
The maximum possible length of the rectangular front of the building is
V
feet.

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

The street department's storage building, which is used to store the rock, gravel, and salt used on the city's roadways, is built in the shape of a regular hexagonal pyramid. The altitude of the pyramid has the same length as any side of the base. If the volume of the interior is 13,612 ft³, find the length of the altitude and of each side of the base to the nearest foot. altitude ft ft side of the base
A candle shaped like a square pyramid needs wrapped in paper. How much paper is needed to cover a candle that has a base side of 6 centimeters and a slant height of 10 centimeters?
An equilateral triangle has a side length of 6. What is the height of the triangle? A right triangle has a height of 12 and a width of 5. How long is the diagonal? A string is tied to the top of a plant to keep it stabilized. The plant is 5 feet tall and the string is connected to the ground 2 feet from the base of the plant. How long is the string?
Steve plants his garden, but just as it begins to thrive, deer start eating all of the fruit and vegetables. He decides to try to build an enclosure by hanging clear plastic over ropes attached to poles down the center of the garden. A cross-section of the ropes forms two right triangles with each pole. Each section of rope is 18 feet long. The distance from the base of the pole to each stake in the ground is 2/3 the height of the pole. What is the height of each pole? What's the height of the pole in feet and inches? Will this be enough to cover the width of Rashid’s garden if the garden is 10 feet by 20 feet?
A type of carpeting costs $11.20 per square meter. Find the cost of carpeting a rectangular room with dimensions: 10 meters by 8 meters.
A parabolically shaped bookshelf has a width of 14 feet 8 inches at the top and height 8 ft. 4 in.. Their are 7 rows of shelves with the same height. How long is the board needed for the bottom of the shelf that is the seventh row of shelves from the bottom?
2)Kira is participating in a cycle-a-thon to raise money for cancer research. The course that has been set up for participants to travel is in the shape of a triangle. Two of the angles of the course are 113 and 47, and the length of the side between these two angles is 4.1 km. For each kilometre that Kira cycles, she will raise $14.70 for cancer research. Determine how much money Kira raises if she cycles the course 3 times.