a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 500 feet . what is its area , in square feet ?
"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 2 x + 2 y = 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 = 500 , you can deduce the following a = 300 b = 400 300 x 400 = 120,000 a is the answer ."
multiply(multiply(divide(500, add(const_2, const_3)), const_3), multiply(divide(500, add(const_2, const_3)), const_4))