Posted by **Eric** on Monday, May 30, 2011 at 10:28am.

A square and four congruent rectangles are arranged in a larger square. The smaller square and each of the rectangles have the same perimeter.Determine the ratio of the length of a side of the larger square to the length of side of the smaller square.

- Math -
**Mgraph**, Monday, May 30, 2011 at 11:13am
Let A is the length of a side of the larger square, a - of the smaller square.

The length of the smaller side of

a rectangle is (A-a)/2, the length of

the bigger side is (A-a)/2+a.

4a=2((A-a)/2+(A-a)/2+a)

4a=2A

A/a=2/1

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