Problem:
Rectangle , pictured below, shares of its area with square . Square shares of its area with rectangle . What is
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Let equal the side length of the square. Because half of the area of the rectangle is in the square, . Because one fifth of the square's area is in the shaded region, . Therefore , and .
The problems on this page are the property of the MAA's American Mathematics Competitions