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March 3, 2015

March 3, 2015

Posted by **sydney** on Monday, December 19, 2011 at 8:54pm.

The answer is 50 ft by 120 ft, but I don't know how to find the answer

- algebra -
**Steve**, Tuesday, December 20, 2011 at 4:29amThe structure of the problem should give yu a hint. The diagonal of a rectangle forms a right triangle with the sides. So, think Pythagorean Theorem.

If the length is x and the width is y,

(y+70)^2 + y^2 = 130^2

y^2 + 140y + 4900 + y^2 = 16900

2y^2 + 140y - 1200 = 0

y^2 + 70y - 6000 = 0

(y-50)(y+120) = 0

y=-120 isn't useful, but

y=50 works fine, making x=120

You might have also saved yourself some work by recalling that one of the standard integer-sided right triangles is 5-12-13, and seeing that 50-120-130 would fit your conditions.

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