SOLUTION: A square is divided into 5 equal sized rectangles. If the perimeter of one of the rectangles is 30cm, how many centimeters are in the perimeter of the square? Thank you.

Algebra ->  Rectangles -> SOLUTION: A square is divided into 5 equal sized rectangles. If the perimeter of one of the rectangles is 30cm, how many centimeters are in the perimeter of the square? Thank you.      Log On


   

Question 604336: A square is divided into 5 equal sized rectangles. If the perimeter of one of the rectangles is 30cm, how many centimeters are in the perimeter of the square?
Thank you.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The long side of one of the rectangles has to be 5 times
it's short side, so when they are placed side by side,
you get a square.
Let +s+ = the length of the short side of a rectangle
+5s+ = the length of the long side of a rectangle
The formula for perimeter, P is
+P+=+2s+%2B+2%2A%285s%29+
+30+=+2s+%2B+10s+
+12s=+30+
+s+=+5%2F2+ cm
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The perimeter of the square formed by the 5 rectangles is
+P+=+4%2A%285s%29+
+P+=+20s+
+P+=+20%2A%285%2F2%29+
+P+=+50+ cm