Problem:
Betsy designed a flag using blue triangles, small white squares, and a red center square, as shown. Let be the total area of the blue triangles, the total area of the white squares, and the area of the red square. Which of the following is correct?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Draw additional lines to cover the entire figure with congruent triangles. There are triangles in the blue region, in the white region, and in the red region. Thus, .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions