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

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Question 882589: The sides of a rectangle are in the ratio 2:1.The length of each diagonal of this rectangle is 23cm.Find area of the rectangle.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal is the hypotenuse of right triangle using the given rectangle sides.
2:1, 2%2F1=2x%2F1x.

%282x%29%5E2%2Bx%5E2=23%5E2
3x%5E2=23%5E2
x%5E2=%2823%2F3%29%5E2-----you could actually use this to finish the solution
x=sqrt%2823%29%2Fsqrt%283%29
x=sqrt%2869%29%2F3, and you can say the other side length, 2x=%282%2F3%29sqrt%2869%29

Area of the rectangle is x%2A2x=2x%5E2=2%2A%2823%2F3%29%5E2=highlight%28529%2F9=58%267%2F9%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

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


Area of rectangle: highlight_green%28highlight_green%28211.6cm%5E2%29%29 

Then do the check!! 



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