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19 February, 22:08

The length of a rectangle is 2 meters more than its width. The area of the rectangle is 80 square meters. What is the length and width of the rectangle? A. length = 10 meters, width = 8 meters B. length = 8 meters, width = 6 meters C. length = 20 meters, width = 4 meters D. length = 14 meters, width = 12 meters

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  1. 19 February, 22:28
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    Step-by-step explanation:

    Formula

    A = L * W

    Givens

    W = W

    L = W + 2

    Solution

    Area = L*W

    Area = (W+2) * W = 80 Remove the brackets.

    Area = W^2 + 2W = 80 Subtract 80 from both sides.

    Area = w^2+2W-80=80-80 Combine

    Area = w^2 + 2W-80 = 0 Factor.

    Area = (w+10) (w - 8) = 0

    W + 10 = 0 won't work

    W = - 10 which isn't possible

    W - 8 = 0

    W = 8

    L = 8 + 2 = 10

    The answer looks like A
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