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

Latest revision as of 22:18, 23 November 2020

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-Square <math> ABCD </math> has side length <math>10</math>. Point <math>E</math> is on <math>\overline{BC}</math>, and the area of <math> \triangle ABE </math>
+#redirect [[2013 AMC 12A Problems/Problem 1]]
-is <math>40</math>. What is <math> BE </math>?
-[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("<math>A</math>",(0,0),SW);
-label("<math>B</math>",(0,10),NW);
-label("<math>C</math>",(10,10),NE);
-label("<math>D</math>",(10,0),SE);
-label("<math>E</math>",(6,10),N);[/asy]
-<math> \textbf{(A)}\ 4\qquad\textbf{(B)}\ 5\qquad\textbf{(C)}\ 6\qquad\textbf{(D)}\ 7\qquad\textbf{(E)}\ 8 </math>