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
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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.

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.
Transcribed Image Text: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.
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