2007 AMC 8 Problems/Problem 8
Contents
[hide]Problem
In trapezoid , is perpendicular to , , and . In addition, is on , and is parallel to . Find the area of .
Solution 1 (Area Formula for Triangles)
Clearly, is a square with side-length By segment subtraction, we have
The area of is ~Aplus95 (Solution)
~MRENTHUSIASM (Revision)
Solution 2 (Area Subtraction)
Clearly, is a square with side-length
Let the brackets denote areas. We apply area subtraction to find the area of ~MRENTHUSIASM
Video Solution by SpreadTheMathLove
https://www.youtube.com/watch?v=omFpSGMWhFc
Video Solution by WhyMath
See Also
2007 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
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All AJHSME/AMC 8 Problems and Solutions |
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