SOLUTION: Suppose that a rectangle has a perimeter of 22 meters. Express the area A(x) of the rectangle in terms of the length x of one of its sides.

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Question 213617: Suppose that a rectangle has a perimeter of 22 meters.
Express the area A(x) of the rectangle in terms of the length
x of one of its sides.
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Perimeter = 2Length + 2 Width =22 (given)
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divide by 2 thruout,,,,L + W = 11,,,or L=11-W
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Area = Length * Width,,,,,,if we let w=x, and substitute
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A=(11-W) * (W) = (11-x) *(x) = 11x -x^2
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or,,,,A= 11x-x^2
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check,,,let L=10,,W=1,,,Per = 2(10)+ 2(1) = 22,,,,ok
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A=1*10=10,,,,,,A= 11(1)-(1)^2 = 10,,,,ok
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For L=9...w=2,,,,per =22 ok,,,,,A=9*2=18,,,A= 11(2)-2^ = 18,,,ok
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