SOLUTION: An architect is designing a rectangular family room with a perimeter of 48\m. What dimensions will yield the maximum area? What is the maximum area?
Question 1188853: An architect is designing a rectangular family room with a perimeter of 48\m. What dimensions will yield the maximum area? What is the maximum area? Answer by ikleyn(52778) (Show Source):
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An architect is designing a rectangular family room with a perimeter of 48 m.
What dimensions will yield the maximum area? What is the maximum area?
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A rectangle of the given perimeter P, which has maximum area, is a square with the side length
one fourth of the perimeter. Its area is square units.
In the given case, a rectangular family room of the given perimeter of 48 m, which has maximum area,
is a square with the side length of = 12 m.
Its area is = = 144 square meters.
