SOLUTION: Please help me solve this problem: The length of a rectangle is 5 in. longer than its width. The diagonal is 5 in. shorter than twice the width. Find the length, width, and dia

Question 1006429: Please help me solve this problem:
The length of a rectangle is 5 in. longer than its width. The diagonal is 5 in. shorter than twice the width. Find the length, width, and diagonal measures of the rectangle.

Thank you so much!
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

let the length be , the width , and the diagonal
if the length of a rectangle is in longer than its width, we have

if the diagonal is in. shorter than twice the width, we have

we know that ...substitute and from above
........solve for

....simplify, divide by

solutions:
....since represents the width, disregard this solution
=> your solution
now find the length

and diagonal

check the result:

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