Difference between revisions of "2013 AMC 10A Problems/Problem 3"

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Revision as of 23:22, 6 February 2013

Square $ABCD$ has side length $10$. Point $E$ is on $\overline{BC}$, and the area of $\triangle ABE$ is $40$. What is $BE$?

[asy] size(150); pen dps = linewidth(0.7) + fontsize(10); defaultpen(dps); draw((0,0)--(0,10)--(10,10)--(10,0)--(0,0)--(6,10)); dot((0,0)); dot((0,10)); dot((10,10)); dot((10,0)); dot((6,10)); label("$A$",(0,0),SW); label("$B$",(0,10),NW); label("$C$",(10,10),NE); label("$D$",(10,0),SE); label("$E$",(6,10),N);[/asy]


$\textbf{(A)}\ 4\qquad\textbf{(B)}\ 5\qquad\textbf{(C)}\ 6\qquad\textbf{(D)}\ 7\qquad\textbf{(E)}\ 8$