Problem:
What is the area of the region defined by the inequality
Answer Choices:
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B.
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Solution:
The boundaries of the region are the two pairs of parallel lines
These lines intersect at , and . Thus the region is a rhombus whose diagonals have lengths 2 and 3 . The area of the rhombus is half the product of the diagonal lengths, which is .
The problems on this page are the property of the MAA's American Mathematics Competitions