SOLUTION: The diagonal of a rectangle is twenty-five inches more than its width. The length of the rectangle is twenty-three inches more than its width. What is the width of the rectangle?

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Question 324560: The diagonal of a rectangle is twenty-five inches more than its width. The length of the rectangle is twenty-three inches more than its width. What is the width of the rectangle?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal of a rectangle is twenty-five inches more than its width. The length of the rectangle is twenty-three inches more than its width. What is the width of the rectangle?
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diag = width + 25
length = width + 23
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diag^2 = width^2 + length^2
(w+25)^2 = w^2 + (w+23)^2
w^2 +50w + 625 = w^2 + w^2 + 46w + 529
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w^2-4w-96 = 0
(w+8)(w-12) = 0
w = 12 inches (width)
diag = w + 25 = 37 inches
length = w + 23 = 35 inches
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Cheers,
Stan H.
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