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14 June, 00:39

A garden was originally 20 ft by 23 ft. If both dimensions are decreased by the same amount, the area of the garden will be deceased by 120 ft^2. Find the dimension of the new garden.

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  1. 14 June, 01:05
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    20ft * 17ft

    Step-by-step explanation:

    (20-x) (23-x) = (20*23) - 120

    460 - 43x + x² = 460 - 120

    x² - 43x + 120 = 0

    x² - 40x - 3x + 120 = 0

    x (x - 40) - 3 (x - 40) = 0

    (x - 40) (x - 3) = 0

    x = 3, 40

    x = 3

    New dimensions:

    (23-3) * (20-3)

    20 * 17
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