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31 March, 09:58

The organic garden at a restaurant is rectangular in shape and has a perimeter of 84ft. If the length of the garden is 24ft longer than the width of the garden, what is the area of the garden in square ft? A) 9 B) 33 C) 84 D) 297

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  1. 31 March, 10:27
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    Answer: the area of the garden is 297 ft^2

    Step-by-step explanation:

    The organic garden at a restaurant is rectangular in shape and has a perimeter of 84ft. This means that the total distance around the restaurant is 84ft.

    Perimeter of a rectangle is expressed as 2 (L + W)

    L = length of the rectangle

    W = width of rectangle.

    Since the perimeter is 84ft

    2 (L + W) = 84

    If the length of the garden is 24ft longer than the width of the garden, this means that

    L = W + 24

    Therefore

    2 (W + 24 + W) = 84

    2 (2W + 24) = 84

    4W + 48 = 84

    4W = 84 - 48 = 36

    W = 36/4 = 9

    L = W + 24 = 9+24

    L = 33 feet

    Area if a rectangle is expressed as

    Area = L * W

    Area = 33 * 9 = 297 ft^2
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