{"status": "success", "data": {"description_md": "In rectangle $ABCD$, $AB=1$, $BC=2$, and points $E$, $F$, and $G$ are midpoints of $\\overline{BC}$, $\\overline{CD}$, and $\\overline{AD}$, respectively. Point $H$ is the midpoint of $\\overline{GE}$. What is the area of the shaded region?\n\n<center>\n<img class=\"problem-image\" height=\"428\" src=\"https://latex.artofproblemsolving.com/1/2/5/12524bb96209b0c956b2060192deb8429c73e3f3.png\" width=\"232\"/>\n</center><br>\n\n$\\textbf{(A)}\\ \\dfrac1{12}\\qquad\\textbf{(B)}\\ \\dfrac{\\sqrt3}{18}\\qquad\\textbf{(C)}\\ \\dfrac{\\sqrt2}{12}\\qquad\\textbf{(D)}\\ \\dfrac{\\sqrt3}{12}\\qquad\\textbf{(E)}\\ \\dfrac16$", "description_html": "<p>In rectangle <span class=\"katex--inline\">ABCD</span>, <span class=\"katex--inline\">AB=1</span>, <span class=\"katex--inline\">BC=2</span>, and points <span class=\"katex--inline\">E</span>, <span class=\"katex--inline\">F</span>, and <span class=\"katex--inline\">G</span> are midpoints of <span class=\"katex--inline\">\\overline{BC}</span>, <span class=\"katex--inline\">\\overline{CD}</span>, and <span class=\"katex--inline\">\\overline{AD}</span>, respectively. Point <span class=\"katex--inline\">H</span> is the midpoint of <span class=\"katex--inline\">\\overline{GE}</span>. What is the area of the shaded region?</p>&#10;<center>&#10;<img class=\"problem-image\" height=\"428\" src=\"https://latex.artofproblemsolving.com/1/2/5/12524bb96209b0c956b2060192deb8429c73e3f3.png\" width=\"232\"/>&#10;</center><br/>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}\\ \\dfrac1{12}\\qquad\\textbf{(B)}\\ \\dfrac{\\sqrt3}{18}\\qquad\\textbf{(C)}\\ \\dfrac{\\sqrt2}{12}\\qquad\\textbf{(D)}\\ \\dfrac{\\sqrt3}{12}\\qquad\\textbf{(E)}\\ \\dfrac16</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2014 AMC 10A Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc10A_p17", "prev": "/problem/14_amc10A_p15"}}