SOLUTION: a square and a rectangle have the equal ares. The rectangle is 20cm by 5cm. What is the perimeter of the square?

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Question 661955: a square and a rectangle have the equal ares. The rectangle is 20cm by 5cm. What is the perimeter of the square?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The area of the rectangle is
%2820cm%29%285cm%29=100cm%5E2.
If the side of the square is x cm long, its area, in cm%5E2 is
x%5E2.
If the area of the square and the rectangle are equal,
x%5E2=100 --> x=10 because 10%5E2=100 <---> sqrt%28100%29=10
So the side of the square is 10cm long.
The perimeter of the square is four times the length of the side, so it is
4%2A%2810cm%29=highlight%2840cm%29