SOLUTION: The length of a rectangle is 7 inches more than its width. A diagonal of the rectangle is 13 inches long. What is the length and width of the rectangle?

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Question 869894: The length of a rectangle is 7 inches more than its width. A diagonal of the rectangle is 13 inches long. What is the length and width of the rectangle?
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
clearly this triangle belongs to the 5-12-13 family or right triangles, but if this is not apparent...
We are given that
l=w%2B7
substituting into the Pythagorean formula


w%5E2%2B%28w%2B7%29%5E2=13%5E2
which can be solved to obtain
w=-12 or w=5
but since this is geometry we know all measurements are positive.
w=5in
this in turn means
l=12in