A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 600 feet. What is its area, in square feet? Choices:
A) 172,800 B) 19,600 C) 20,000 D) 20,400 E) 20,800
you can avoid a lot of work in this problem by recognizing that, with the info provided, the diagonal forms a triangle inside the rectangle with sides that have a 3:4:5 ratio.   diagonal = 200   2x + 2y = 560, or x + y = 280   a^2 + b^2 = c^2 for each the sides of the triangle   using the ratio 3:4:5 for sides, and knowing c = 600, you can deduce the following   a=360   b=480   360x480=172,800   172,800 is the answer.
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A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 600 feet. What is its area, in square feet?