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29 January, 01:10

A room has an area of 456 square feet. One dimension is 5 feet more than the other. Find the dimensions of the room.

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  1. 29 January, 01:21
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    L * W = A.

    L + 5 = W

    Substitute (L + 5) for W in the first equation.

    L (L + 5) = A = 456.

    distribute the L.

    L² + 5L = 456

    L² + 5L - 456 = 0

    (L + 24) (L - 19) = 0

    L = - 24 and L = 19.

    Because 19 is positive L = 19.

    Because 24 is 5 more than L and when multiplied by L = 456, W = 24.
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