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21 October, 17:31

The area of a rectangle is 216 square inches. If the perimeter is 60 inches, find the length and width of the rectangle

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  1. 21 October, 19:21
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    A=Lw

    P=2L+2w

    216=Lw

    W=216/L ... substitute to Perimeter equation

    60=2L+2 (216/L)

    60L=2L^2 + 432

    2L^2-60L+432=0

    2 (L^2 - 30L + 216) = 0

    2 (L-18) (L-12) = 0

    L=12, W=18 or L=18, W=12
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