2005 AMC 8 Problems/Problem 13
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Problem
The area of polygon is 52 with $AB\equal{}8$ (Error compiling LaTeX. Unknown error_msg), $BC\equal{}9$ (Error compiling LaTeX. Unknown error_msg) and $FA\equal{}5$ (Error compiling LaTeX. Unknown error_msg). What is $DE\plus{}EF$ (Error compiling LaTeX. Unknown error_msg)?
Solution
Notice that , so
. Let
be the intersection of the extensions of
and
, which makes rectangle
. The area of the polygon is the area of
subtracted from the area of
.
Solving for the unknown, , therefore
.
See Also
2005 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 12 |
Followed by Problem 14 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
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