SOLUTION: 5 similar rectangles are used to form a big rectangle. If the area of the big rectangle is 240 square centimetres, what is its perimeter?

Question 724841: 5 similar rectangles are used to form a big rectangle.
If the area of the big rectangle is 240 square centimetres, what is its perimeter?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
It is not clear to me how the 5 rectangles would be arranged.
If 5 congruent rectangles were attached to one another by their long sides to form a similar, larger rectangle, it would look like this:
with and being the small rectangles' sides' measures in cm.
Since the large rectangle is similar to the small ones,
--> -->

So the area of the large rectangle is
--> -->
Multiplying both sides of the equal sign times we get
--> --> --> --> --> -->
Then,
--> --> --> --> -->
and

The perimeter would be

That is

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