2014 AIME I Problems/Problem 13
Problem 13
On square , points , and lie on sides and respectively, so that and . Segments and intersect at a point , and the areas of the quadrilaterals and are in the ratio Find the area of square .
Solution
Let be and respectively. Then the total area of is . We have , and .
See also
2014 AIME I (Problems • Answer Key • Resources) | ||
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Followed by Problem 14 | |
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