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30 August, 06:37

the length of a rectangle is 4 unit less than the width. which expression represents the perimeter of the rectangle

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  1. 30 August, 08:26
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    Length: 11

    Width: 5

    Step-by-step explanation:

    Let W = width

    Let L = length

    Length is 4 less than 3 times the width = => L = 3*W - 4

    Let P = Perimeter = 2*W + 2*L

    Perimeter is 22 more than twice the width = => P = 2*W + 22

    Setting the 2 expressions for the perimeter equal to each other gives

    2*W + 2*L = 2*W + 22

    2*L = 22

    L = 11

    So 11 = 3*W - 4

    3*W = 15

    W = 5

    The length is 11 and the width is 5

    Check: 3*W - 4 = 11 = Length

    Perimeter = 32 = 22 more than 2*5 = 10
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