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?

Question

Camryn Benton

Mathematics

10 February, 23:56

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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Answers (1)

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Noel Bright · Answer 1

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).