{"status": "success", "data": {"description_md": "Square $ABCD$ has side length $10$. Point $E$ is on $\\overline{BC}$, and the area of $\\bigtriangleup ABE$ is $40$. What is $BE$?\n\n$\\textbf{(A)} \\ 4 \\qquad \\textbf{(B)} \\ 5 \\qquad \\textbf{(C)} \\ 6 \\qquad \\textbf{(D)} \\ 7 \\qquad \\textbf{(E)} \\ 8 \\qquad$<br><center><img class=\"problem-image\" alt='[asy] pair A,B,C,D,E; A=(0,0); B=(0,50); C=(50,50); D=(50,0); E = (40,50); draw(A--B); draw(B--E); draw(E--C); draw(C--D); draw(D--A); draw(A--E); dot(A); dot(B); dot(C); dot(D); dot(E); label(\"A\",A,SW); label(\"B\",B,NW); label(\"C\",C,NE); label(\"D\",D,SE); label(\"E\",E,N); [/asy]' class=\"latexcenter\" height=\"252\" src=\"https://latex.artofproblemsolving.com/5/d/e/5deb6040701b50303c4593a48dd3b09550139cd9.png\" width=\"252\"/></center>\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Square  <span class=\"katex--inline\">ABCD</span>  has side length  <span class=\"katex--inline\">10</span> . Point  <span class=\"katex--inline\">E</span>  is on  <span class=\"katex--inline\">\\overline{BC}</span> , and the area of  <span class=\"katex--inline\">\\bigtriangleup ABE</span>  is  <span class=\"katex--inline\">40</span> . What is  <span class=\"katex--inline\">BE</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)} \\ 4 \\qquad \\textbf{(B)} \\ 5 \\qquad \\textbf{(C)} \\ 6 \\qquad \\textbf{(D)} \\ 7 \\qquad \\textbf{(E)} \\ 8 \\qquad</span> <br/><center><img class=\"latexcenter\" alt=\"[asy] pair A,B,C,D,E; A=(0,0); B=(0,50); C=(50,50); D=(50,0); E = (40,50); draw(A--B); draw(B--E); draw(E--C); draw(C--D); draw(D--A); draw(A--E); dot(A); dot(B); dot(C); dot(D); dot(E); label(&#34;A&#34;,A,SW); label(&#34;B&#34;,B,NW); label(&#34;C&#34;,C,NE); label(&#34;D&#34;,D,SE); label(&#34;E&#34;,E,N); [/asy]\" height=\"252\" src=\"https://latex.artofproblemsolving.com/5/d/e/5deb6040701b50303c4593a48dd3b09550139cd9.png\" width=\"252\"/></center></p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2013 AMC 12A Problem 1", "can_next": true, "can_prev": false, "nxt": "/problem/13_amc12A_p02", "prev": ""}}