A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 200 feet. What is its area, in square feet? 19,200 19,600 20,000 20,400 20,800 Next Previous …

Question

asked May 5, 2020 8.3k views

2 Answers

Josh Dean · Answer 1 · 2020-05-06T01:09:07+0000

Answer:

19200 square feet

Explanation:

2x+2y=560. x+y=280

find xy.

(x+y)^{2} =x^{2} +2xy+y^{2}

280^{2} =200^2+2xy

2xy=280^2-200^2

2xy=78400-40000=38400

xy=19200 square feet