Problem:
Figures  and  are squares. The perimeter of  is  and the perimeter of  is . The perimeter of  is

Answer Choices:
A.  
B.  
C.  
D.  
E.  
Solution:
Since the perimeter of is , its side is . Similarly, the side of is . Hence the side of is . Thus the perimeter of is .

Query. Is it a coincidence that the perimeter of equals the sum of the perimeters of and
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions