SOLUTION: I need to determine a quadratic equation and solve the problem. My word problems is as follows: The perimeter of a rectangle is 34cm, and the diagonal is 13cm. Determine the

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Question 206153: I need to determine a quadratic equation and solve the problem.
My word problems is as follows: The perimeter of a rectangle is 34cm, and the diagonal is 13cm. Determine the lengths of the sides of the rectangle.
I am setting up my problem as follows but not sure if it is correct:
2x + 2y = 34 (perimeter of the rectangle)
x^2 x y^2 = 13^2 or 169 (the diagonal portion of the rectangle)
I am then following through to make a quadratic equation where:
2x + 2x = 37 reduces to x = 17-7
Then I am taking (17-y)^2 + y^2 = 169 to come up with my final quadratic equation.
Am I on the right path?
Thanks - Lori
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You're on the right track. You just need to solve %2817-y%29%5E2+%2B+y%5E2+=+169 to find 'y', and then from there, use that to find 'x'. Repost if you still need help.