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?

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) (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?
--------------------------------
diag = width + 25
length = width + 23
-------
diag^2 = width^2 + length^2
(w+25)^2 = w^2 + (w+23)^2
w^2 +50w + 625 = w^2 + w^2 + 46w + 529
---
w^2-4w-96 = 0
(w+8)(w-12) = 0
w = 12 inches (width)
diag = w + 25 = 37 inches
length = w + 23 = 35 inches
==============================
Cheers,
Stan H.
===========
RELATED QUESTIONS
The diagonal of a rectangle is 25 inches more than its width. The length of the rectangle (answered by ankor@dixie-net.com)

The length of a rectangle is five inches more than four times its width. If the perimeter (answered by addingup)

The length of a rectangle is five inches more than its width. The perimeter is 66 inches. (answered by actuary)

The length of a rectangle is five inches more than its width. The perimeter is 66 inches. (answered by EMStelley,Mathtut)

The length of a rectangle is 3 Inches more than its width. The perimeter of the rectangle (answered by HyperBrain)

The length of a rectangle is 7 inches more than its width. A diagonal of the rectangle is (answered by tommyt3rd)

the length of a rectangle is 8 inches more than its width. the perimeter of the rectangle (answered by solver91311)

The width of a rectangle is three-fourths its length. The diagonal is 10 inches. What... (answered by Tatiana_Stebko)

the lentgh of a rectangle is 3 inches more than its width . the perimeter of the... (answered by ewatrrr)