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A rectangle has a perimeter of 20 ft Find a function that models its area A in terms of the length x of one of its sides?
Wiki User
∙ 14y ago
Suppose the other side of the rectangle is y,
then perimeter = 2(length + breadth)
so 20 = 2*(x+y)
so that x+y = 10 or y = 10-x
Then, A = x*y = x*(10-x) or 10x - x2
Note that x>0, y>0 require that 0<x<10. The function is not defined outside these limits for x.
Wiki User
∙ 14y ago
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