SOLUTION: The midpoints of the sides of a 2m square are joined to form a smaller square. What is the ratio of their areas?

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Question 1123734: The midpoints of the sides of a 2m square are joined to form a smaller square. What is the ratio of their areas?
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a side of the smaller square is sqrt%282%29
since we have a triangle in the upper left with two side of length 1
The the area of the smaller square is %28sqrt%282%29%29%5E2+=+2+
The area of the larger square is 2%5E2=4
So the ratio of the larger to the smaller is 4:2 or 2:1