SOLUTION: The sides of a rectangle are in the ratio 2:1 .The length of each diagonal of this rectaegle is 23cm.Find the perimeter of the rectangle.

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Question 878132: The sides of a rectangle are in the ratio 2:1 .The length of each diagonal of this rectaegle is 23cm.Find the perimeter of the rectangle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Using the Pythagorean theorem,
x%5E2%2B%282x%29%5E2=23%5E2
x%5E2%2B4x%5E2=23
5x%5E2=23
x%5E2=23%2F5
x=sqrt%2823%2F5%29
x=sqrt%28115%29%2F5
The perimeter of the rectangle is
P=x%2B2x%2B2x%2Bx=6x
P=%286%2F5%29sqrt%28115%29