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30 July, 06:21

a rectangular field has an area of 1,764m^2. the width of the field is 13m more then the length. what is the perimeter of the field?

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  1. 30 July, 09:27
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    170 m

    Step-by-step explanation:

    Area of a rectangle is width times length:

    A = WL

    Given:

    A = 1764

    W = L + 13

    Substitute:

    1764 = (L + 13) L

    1764 = L² + 13L

    0 = L² + 13L - 1764

    0 = (L + 49) (L - 36)

    L + 49 = 0, L - 36 = 0

    L = - 49, L = 36

    Since length can't be negative, L = 36 m.

    So the width is W = L + 13 = 49 m.

    Perimeter of a rectangle is twice the width plus twice the length.

    P = 2W + 2L

    P = 2 (49) + 2 (36)

    P = 170 m

    The perimeter is 170 meters.
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