a rectangular reflection pond in a park is 16 feet long. The maintenace crew placed a string of flags 20 feet long across the pond diagonally. What is the width of the pond in feet? A 12 B.) 144 C.) 4 D.) 26​

Mathematics · College · Thu Feb 04 2021

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We know each angle of rectangle is of 90°. So, by phythogoras theorem 

H² = B² + P²

Here, H = 20 and B = 16

Putting values, we get 

20² = 16² + P²

400 = 256 + P²

P² = 400 - 256

P² = 144

Taking square root of both sides, we get

P = 12

 

Thus, width of pond is 12 feet.