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