2004 AMC 8 Problems/Problem 24
Problem
In the figure, is a rectangle and is a parallelogram. Using the measurements given in the figure, what is the length of the segment that is perpendicular(altitude of parallelogram ) to and ?
Solution
The area of the parallelogram can be found in two ways. The first is by taking rectangle and subtracting the areas of the triangles cut out to create parallelogram . This is The second way is by multiplying the base of the parallelogram such as with its altitude , which is perpendicular to both bases. is a triangle so . Set these two representations of the area together.
See Also
2004 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 23 |
Followed by Problem 25 | |
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