SOLUTION: A rectangle has perimeter 34 in. and has an area of 60 in2. What is the diagonal of the rectangle?

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Question 534439: A rectangle has perimeter 34 in. and has an area of 60 in2. What is the diagonal of the rectangle?
Answer by solver91311(24713) About Me  (Show Source):
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The perimeter of a rectangle is given by:



From that we can conclude for this rectangle that:



Then, since the area, given by the length times the width, is 60,



Solve the quadratic to get the length and width. Then use Pythagoras to get the measure of the diagonal -- or note that the length and width are 2 values in a Pythagorean triple.

John

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