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21 July, 12:39

The width of a rectangle is two cm less than 8 times the length. The perimeter is 88 cm. What is the width and length of the rectangle?

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  1. 21 July, 13:09
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    Let's the length to be x,

    then the width is 8x - 2.

    Perimeter of a rectangle = 2*Width + 2*Length

    Perimeter of the rectangle = 2 (8x-2) + 2x = 16x - 4 + 2x = 18x - 4

    Ar the same time, Perimeter of the rectangle = 88.

    So, we can write

    18x - 4 = 88

    18x = 84

    9x=42

    x = 42/9 cm (length) or ≈ 4.67 cm (length)

    8x - 2 = 8*42/9 - 2 ≈ 35.33 cm (width)
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