{"status": "success", "data": {"description_md": "Consider the $12$-sided polygon $ABCDEFGHIJKL$, as shown. Each of its sides has length $4$, and each two consecutive sides form a right angle. Suppose that $\\overline{AG}$ and $\\overline{CH}$ meet at $M$. What is the area of quadrilateral $ABCM$?\n$$\n<center>\n<img class=\"problem-image\" height=\"218\" src=\"https://latex.artofproblemsolving.com/1/3/9/1398362ab7277efd803b7326d6c586d92b193210.png\" width=\"228\"/>\n</center>$$\n\n$\\text{(A)}\\ \\frac {44}{3}\\qquad \\text{(B)}\\ 16 \\qquad \\text{(C)}\\ \\frac {88}{5}\\qquad \\text{(D)}\\ 20 \\qquad \\text{(E)}\\ \\frac {62}{3}$", "description_html": "<p>Consider the  <span class=\"katex--inline\">12</span> -sided polygon  <span class=\"katex--inline\">ABCDEFGHIJKL</span> , as shown. Each of its sides has length  <span class=\"katex--inline\">4</span> , and each two consecutive sides form a right angle. Suppose that  <span class=\"katex--inline\">\\overline{AG}</span>  and  <span class=\"katex--inline\">\\overline{CH}</span>  meet at  <span class=\"katex--inline\">M</span> . What is the area of quadrilateral  <span class=\"katex--inline\">ABCM</span> ?<br/>\n$$</p>\n<center>\n<img class=\"problem-image\" height=\"218\" src=\"https://latex.artofproblemsolving.com/1/3/9/1398362ab7277efd803b7326d6c586d92b193210.png\" width=\"228\"/>\n</center>$$\n<p> <span class=\"katex--inline\">\\text{(A)}\\ \\frac {44}{3}\\qquad \\text{(B)}\\ 16 \\qquad \\text{(C)}\\ \\frac {88}{5}\\qquad \\text{(D)}\\ 20 \\qquad \\text{(E)}\\ \\frac {62}{3}</span> </p>\n<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": 3, "problem_name": "2007 AMC 10A Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc10A_p19", "prev": "/problem/07_amc10A_p17"}}