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30 August, 08:28

A rectangular porch has dimentions of (x+12) and (x+5) feet. If thr aria of the porch floor is 120 square feet, what is its length and width?

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  1. 30 August, 11:02
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    We have (x+12) · (x+5) = 120; where x > 0;

    Then, x^2 + 17x + 60 = 120;

    x^2 + 17x - 60 = 0;

    The solutions are x1 = + 3 and x2 = - 20;

    Then, x = 3 is the correct solution.

    Finally, x + 12 = 15 feet (length) and x + 5 = 8 feet (width).
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