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