2011 AIME II Problems/Problem 2
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Problem 2
On square , point
lies on side
and point
lies on side
, so that
. Find the area of the square
.
Solution
Drawing the square and examining the given lengths,
you find that the three segments cut the square into three equal horizontal sections. Therefore, (
being the side length),
, or
. Solving for
, we get
, and
Area of the square is .
See also
2011 AIME II (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |
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