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12 October, 00:59

The area of a rectangular plot 32 feet long and 25 feet wide will be doubled by adding an equal width to each side of the plot. Which equation can be used to find this added width?

(x + 32) (x + 25) = 1600

(2x + 32) (2x + 25) = 1600

(2x + 32) (x + 25) = 800

(x + 32) (x + 25) = 800

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  1. 12 October, 01:15
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    Answer: (2x + 32) (2x + 25) = 1600

    Step-by-step explanation:

    The former length of the rectangular plot = 32 feets

    The former width of the rectangular plot = 25 feets

    The former area of the rectangular plot is former length of the rectangular plot * former width of the rectangular plot

    = 32*25 = 800 feet^2

    If the area is doubled, the new area would 800 * 2 = 1600 feet^2

    If an equal width of x feets was added to each side of the plot,

    The new length would be (32 + 2x) feets.

    The new width would be (25 + 2x) feets. The 2x is due to the fact that there are 2 lengths and 2 widths

    The new area would be

    (2x + 32) (2x + 25) = 1600
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