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11 September, 23:05

The area of a rectangle garden is 48 sq ft. It is exactly 13 feet longer than its wide. Find the dimensions of the garden

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  1. 12 September, 01:44
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    The dimensions of the garden are

    The dimensions of the garden are 16 and 3 feet.

    The formula for finding the area of a rectangle is length * width.

    Let's keep the width of the rectangular garden as x.

    Therefore, the length will be x+13.

    x * (x+13) = 48

    x^2 + 13x = 48

    x^2 + 13x - 48 = 0

    (x-3) (x+16) = 0

    x = 3, x = - 16

    However, since a dimension cannot be a negative number, the dimensions are 3 and 16. You can also solve this problem by finding the factors of 48 then seeing which ones have a difference of thirteen, though it might not work if the dimensions are decimals.
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