Difference between revisions of "2008 AMC 12B Problems/Problem 25"
(New page: Let <math>ABCD</math> be a trapezoid with <math>AB||CD, AB=11, BC=5, CD=19,</math> and <math>DA=7</math>. Bisectors of <math>\angle A</math> and <math>\angle D</math> meet at <math>P</math...) |
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| + | ==Problem 25== | ||
Let <math>ABCD</math> be a trapezoid with <math>AB||CD, AB=11, BC=5, CD=19,</math> and <math>DA=7</math>. Bisectors of <math>\angle A</math> and <math>\angle D</math> meet at <math>P</math>, and bisectors of <math>\angle B</math> and <math>\angle C</math> meet at <math>Q</math>. What is the area of hexagon <math>ABQCDP</math>? | Let <math>ABCD</math> be a trapezoid with <math>AB||CD, AB=11, BC=5, CD=19,</math> and <math>DA=7</math>. Bisectors of <math>\angle A</math> and <math>\angle D</math> meet at <math>P</math>, and bisectors of <math>\angle B</math> and <math>\angle C</math> meet at <math>Q</math>. What is the area of hexagon <math>ABQCDP</math>? | ||
| + | |||
| + | <math>\textbf{(A)}\ 28\sqrt{3}\qquad \textbf{(B)}\ 30\sqrt{3}\qquad \textbf{(C)}\ 32\sqrt{3\qquad \textbf{(D)}\ 35\qrt{3}\qquad \textbf{(E)}\ 36\sqrt{3}</math> | ||
| + | |||
| + | ==Solution== | ||
| + | |||
| + | ==See Also== | ||
| + | {{AMC12 box|year=2008|ab=B|num-b=22|num-a=24}} | ||
Revision as of 17:06, 2 March 2008
Problem 25
Let 
be a trapezoid with 
and 
. Bisectors of 
and 
meet at 
, and bisectors of 
and 
meet at 
. What is the area of hexagon 
?
$\textbf{(A)}\ 28\sqrt{3}\qquad \textbf{(B)}\ 30\sqrt{3}\qquad \textbf{(C)}\ 32\sqrt{3\qquad \textbf{(D)}\ 35\qrt{3}\qquad \textbf{(E)}\ 36\sqrt{3}$ (Error compiling LaTeX. Unknown error_msg)
Solution
See Also
| 2008 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 22 |
Followed by Problem 24 |
| 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 AMC 12 Problems and Solutions | |
