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29 October, 15:36

The area of a rectangular playground enclosure at francis lewis hw is 500 square meters. the lenght of the playground is 5 meters longer than the width. find the dimension of the playground, in meters.

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  1. 29 October, 18:18
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    A=L*W

    L=W+5

    A = (W+5) W

    500=W²+5W

    W²+5W-500=0

    W = (-5+/-√ (25+4*500)) / 2 = (-5+/-√2025) / 2 = (-5+/-45) / 2

    we are going to take only positive value, so W = (-5+45) / 2=20

    L=W+5=20+5=25

    W=20,

    L=25
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