SOLUTION: 28.) If the length of a rectangle is 3 feet longer that the width and the diagonal is 15 feet, then what are the length and width?

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Question 165813: 28.) If the length of a rectangle is 3 feet longer that the width and the diagonal is 15 feet, then what are the length and width?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
we will call the small side x and the larger side x+3. Now using the pathaorean formula we know that x%5E2%2B%28x%2B3%29%5E2=15%5E2 lets multiply these terms out x%5E2%2Bx%5E2%2B6x%2B9=225 combining terms and putting everything on the left we have 2x%5E2%2B6x-216=0 using the quadratic formula we get x=9 and -12...we throw out the negative value and are left with x which is the amall side of 9, and the large side is x+3, which equals 12
small side = 9
large side = 12