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

Question

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

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Khải Quang 1 week 2022-12-31T09:30:30+00:00 1 Answer 0 views 0

Answer ( 1 )

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    2022-12-31T09:32:00+00:00
    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
    Read more about perimeter ar:
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