SOLUTION: The width of a rectangle is three-fourths its length. The diagonal is 10 inches. What are its dimensions?

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Question 470836: The width of a rectangle is three-fourths its length. The diagonal is
10 inches. What are its dimensions?
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
Let x is the length of a rectangle
The width of a rectangle is three-fourths its length, so the width is %283%2F4%29x
The diagonal is 10 inches, use the Pythagorean theorem x%5E2%2B%28%283%2F4%29x%29%5E2=10%5E2
x%5E2%2B%289%2F16%29x%5E2=100
%28%2816%2B9%29%2F16%29x%5E2=100 multiply by 16
25x%5E2=1600 divide by 25
x%5E2=64
x=8 inches is the length of a rectangle
%283%2F4%29x=%283%2F4%29%2A8=3%2A2=6 inches is the width of a rectangle