Difference between revisions of "2016 AMC 8 Problems/Problem 22"

Revision as of 10:33, 23 November 2016

Rectangle $DEFA$ below is a $3 \times 4$ rectangle with $DC=CB=BA$ The area of the "bat wings" is $[asy] draw((0,0)--(3,0)--(3,4)--(0,4)--(0,0)--(2,4)--(3,0)); draw((3,0)--(1,4)--(0,0)); fill((0,0)--(1,4)--(1.5,3)--cycle, black); fill((3,0)--(2,4)--(1.5,3)--cycle, black); [/asy]$

$\textbf{(A) }2\qquad\textbf{(B) }2 \frac{1}{2}\qquad\textbf{(C) }3\qquad\textbf{(D) }3 \frac{1}{2}\qquad \textbf{(E) }5$

Solution

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2016 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
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Difference between revisions of "2016 AMC 8 Problems/Problem 22"

Revision as of 10:33, 23 November 2016

Solution

@@ Line 3: / Line 3: @@
 draw((0,0)--(3,0)--(3,4)--(0,4)--(0,0)--(2,4)--(3,0));
 draw((3,0)--(1,4)--(0,0));
-fill((0,0)--(1,4)--(1.5,3)--(0,0), black);
+fill((0,0)--(1,4)--(1.5,3)--cycle, black);
-fill((3,0)--(2,4)--(1.5,3)--(3,0), black);
+fill((3,0)--(2,4)--(1.5,3)--cycle, black);
 </asy>