Question

the length of a rectangle is 3 inches greater than its width, the perimeter is 28 inches. find the dimensions of the rectangle

Answers

  1. The dimensions of the rectangle is 8.5 by  5.5

    How to determine the dimensions of the rectangle?

    The given parameters are:
    • Length of a rectangle is 3 inches greater than its width
    • Perimeter is 28 inches
    This means that:
    L = 3 + W
    P = 28
    Perimeter is calculated as
    P = 2 * (L +W)
    Substitute L = 3 + W in P = 2 * (L +W)
    P = 2 * (3 + W +W)
    Evaluate the sum
    P = 2 * (3 + 2W)
    Substitute P =28
    2 * (3 + 2W) = 28
    Divide by 2
    3 + 2W = 14
    This gives
    2W = 11
    Divide by 2
    W = 5.5
    Substitute W = 5.5 in L = 3 + W
    L = 3 + 5.5
    Evaluate
    L = 8,5
    Hence, the dimensions of the rectangle is 8.5 by  5.5
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