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25 August, 19:29

The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. find the width

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  1. 25 August, 22:38
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    P = perimeter

    Perimeter of a rectangle = l + l + w + w

    or P = 2l + 2w

    You know:

    P = 150 m

    l = w + 5 [length is 5 m greater than the width]

    P = 2l + 2w Plug in what you know

    150 = 2 (w + 5) + 2w Simplify, distribute/multiply 2 into (w + 5)

    150 = 2w + 10 + 2w

    150 = 4w + 10 Subtract 10 to both sides of the equation

    140 = 4w Divide 4 on both sides

    35 = w

    PROOF l = w + 5 - --> l = 40

    P = 2l + 2w

    150 = 2 (40) + 2 (35)

    150 = 80 + 70

    150 = 150
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