Difference between revisions of "2018 AMC 8 Problems/Problem 22"
(Created page with "==Problem 22== Point <math>E</math> is the midpoint of side <math>\overline{CD}</math> in square <math>ABCD,</math> and <math>\overline{BE}</math> meets diagonal <math>\overli...") |
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<math>\textbf{(A) } 100 \qquad \textbf{(B) } 108 \qquad \textbf{(C) } 120 \qquad \textbf{(D) } 135 \qquad \textbf{(E) } 144</math> | <math>\textbf{(A) } 100 \qquad \textbf{(B) } 108 \qquad \textbf{(C) } 120 \qquad \textbf{(D) } 135 \qquad \textbf{(E) } 144</math> | ||
| + | {{AMC8 box|year=2018|num-b=21|num-a=23}} | ||
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Revision as of 12:06, 21 November 2018
Problem 22
Point 
is the midpoint of side 
in square 
and 
meets diagonal 
at 
The area of quadrilateral 
is 
What is the area of 
![[asy] size(5cm); draw((0,0)--(6,0)--(6,6)--(0,6)--cycle); draw((0,6)--(6,0)); draw((3,0)--(6,6)); label("$A$",(0,6),NW); label("$B$",(6,6),NE); label("$C$",(6,0),SE); label("$D$",(0,0),SW); label("$E$",(3,0),S); label("$F$",(4,2),E); [/asy]](http://latex.artofproblemsolving.com/7/c/1/7c13c3d233bfe4e1b9a7ecd2e6343fe5b8aa2e3a.png)
| 2018 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 21 |
Followed by Problem 23 | |
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| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
