Difference between revisions of "2014 AMC 8 Problems/Problem 14"
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Rectangle <math>ABCD</math> and right triangle <math>DCE</math> have the same area. They are joined to form a trapezoid, as shown. What is <math>DE</math>? | Rectangle <math>ABCD</math> and right triangle <math>DCE</math> have the same area. They are joined to form a trapezoid, as shown. What is <math>DE</math>? | ||
Revision as of 19:39, 26 November 2014
Problem
Rectangle 
and right triangle 
have the same area. They are joined to form a trapezoid, as shown. What is 
?
![[asy] size(250); defaultpen(linewidth(0.8)); pair A=(0,5),B=origin,C=(6,0),D=(6,5),E=(18,0); draw(A--B--E--D--cycle^^C--D); draw(rightanglemark(D,C,E,30)); label("$A$",A,NW); label("$B$",B,SW); label("$C$",C,S); label("$D$",D,N); label("$E$",E,S); label("$5$",A/2,W); label("$6$",(A+D)/2,N); [/asy]](http://latex.artofproblemsolving.com/c/3/5/c358884777664e69762bbb69b74c260349626ff4.png)
See Also
| 2014 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 13 |
Followed by Problem 15 | |
| 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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
