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28 November, 10:45

The area of a rectangular plot 24 feet long and 16 feet wide will be doubled by adding an equal distance to each side of the plot. What is the distance added to each side?

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  1. 28 November, 13:55
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    24*16 = 384

    384*2 = 768

    24+d * 16+d = 768

    384 + 40d+d^2 = 768

    d^2 + 40d-384 = 0

    (d+48) (d-8) = 0

    d=-48, d=8 can't use a negative number so d = 8

    check:

    24+8=32, 16+8=24, 32x 24 = 768

    so 8 feet is added to each side
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