Define the livable space of a building to be the volume of space in the building where a person 6 feet tall can walk upright . An A-frame cabin is y feet long and has equilateral triangular ends x feet on a side , as shown in the accompanying figure . If the surface area of the cabin (roof and two ends) is to be 500 ft2  , what dimensions x and y will maximize the livable space ?

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter4: Rational Functions And Conics
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Define the livable space of a building to be the volume of space in the building where a person 6 feet tall can walk upright . An A-frame cabin is y feet long and has equilateral triangular ends x feet on a side , as shown in the accompanying figure . If the surface area of the cabin (roof and two ends) is to be 500 ft , what dimensions x and y will maximize the livable space ?

47. LIVABLE SPACE Define the livable space of a
building to be the volume of space in the building
where a person 6 feet tall can walk upright. An
A-frame cabin is y feet long and has equilateral
triangular ends x feet on a side, as shown in the
accompanying figure. If the surface area of the
cabin (roof and two ends) is to be 500 fr, what
dimensions x and y will maximize the livable space?
Livable
space
Jon
Transcribed Image Text:47. LIVABLE SPACE Define the livable space of a building to be the volume of space in the building where a person 6 feet tall can walk upright. An A-frame cabin is y feet long and has equilateral triangular ends x feet on a side, as shown in the accompanying figure. If the surface area of the cabin (roof and two ends) is to be 500 fr, what dimensions x and y will maximize the livable space? Livable space Jon
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