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13 February, 11:48

The rectangle shown has a perimeter of 106 cm and the given area. It's length is 8 more than four times the width. Write and solve a system of equations to find the dimensions of the rectangle

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  1. 13 February, 11:54
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    Step-by-step explanation:

    p = 106

    L = 8 + 4W

    p = 2L + 2W

    p = 2 (8 + 4W) + 2W

    p = 16 + 8W + 2 W

    p = 16 + 10W

    106 = 16 + 10W

    106 - 16 = 10W

    90 = 10W

    90/10 = W

    9 = W

    W = 9

    L = 8 + 4W

    L = 8 + 4 (9)

    L = 8 + 36

    L = 44

    44 + 44 + 9 + 9 = 106

    44 * 9 = Area = 396
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