SOLUTION: What is the length and width of a rectangle if the hypotenuse is 24 inches?. The ratio of width to height is 16:9.

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Question 331853: What is the length and width of a rectangle if the hypotenuse is 24 inches?. The ratio of width to height is 16:9.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(16n)^2+(9n)^2=24^2
256n^2+81n^2=576
337n^2=576
n^2=576/337
n^2=1.709
n=sqrt1.71
n=1.307
16*1.307=20.912 ans. for the length.
9*1.307=11.763 ans for the width.
Proof:
20.912^2+11.763=576
437.31+138.37=576
576.68~576