Problem:
A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are and . What is the area of the square in square centimeters?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The perimeter of the triangle is . The perimeter of the square is also . Each side of the square is . The area of the square is square centimeters.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions