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24 October, 08:42

If a rectangle has an area of 30 square meters and a perimeter of 34 meters. what is the dimensions of the rectangle?

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  1. 24 October, 10:43
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    P=2 (L+W) and P=34 so

    2 (L+W) = 34

    L+W=17 so we can say

    L=17-W

    A=LW using L from above

    A = (17-W) W

    A=17W-W^2 and A=30 so

    30=17W-W^2

    W^2-17W+30=0

    W^2-2W-15W+30=0

    W (W-2) - 15 (W-2) = 0

    (W-15) (W-2) = 0

    So the dimensions of the rectangle are 15 meters by 2 meters.
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