2003 AMC 10A Problems/Problem 12
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Problem
A point is randomly picked from inside the rectangle with vertices , , , and . What is the probability that ?
Solution
The rectangle has a width of and a height of .
The area of this rectangle is .
The line intersects the rectangle at and .
The area which is the right isosceles triangle with side length that has vertices at , , and .
The area of this triangle is
Therefore, the probability that is
See Also
2003 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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All AMC 10 Problems and Solutions |
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