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28 December, 12:14

The length of a rectangular garden is 8 feet longer than its width. If the garden's perimeter is 188 feet, what is the area of the garden in square feet?

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  1. 28 December, 12:30
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    Answer: The area is 2,193 square feet (2,193 ft²)

    Step-by-step explanation:The rectangular garden has its sides yet unknown but what we do know is that its length is 8 feet longer than its width. If therefore the width is W, then the length would be W + 8.

    The perimeter is calculated as follows;

    Perimeter = 2 (L + W)

    We can now substitute for the values given as follows;

    188 = 2 (W + 8 + W)

    188 = 2 (2W + 8)

    188 = 4W + 16

    Subtract 16 from both sides of the equation

    172 = 4W

    Divide both sides of the equation by 4

    43 = W

    If the width is 43, and the length is W + 8, then length equals 43 + 8 which gives us 51

    Therefore the area is calculated as follows;

    Area = L x W

    Area = 51 x 43

    Area = 2193

    The area of the rectangular garden is 2,193 square feet
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