Problem:
The area of polygon , In square units, is
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The area is greater than and less than so must be correct.
Extending partitions the polygon into a rectangle and a square whose areas are and respectively.
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Extending and to form the large rectangle shows that area is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions