{"status": "success", "data": {"description_md": "In rectangle $ADEH$, points $B$ and $C$ trisect $\\overline{AD}$, and points $G$ and $F$ trisect $\\overline{HE}$. In addition, $AH=AC=2$, and $AD=3$. What is the area of quadrilateral $WXYZ$ shown in the figure? \n\n<center>\n<img class=\"problem-image\" height=\"232\" src=\"https://latex.artofproblemsolving.com/6/1/4/614d325a6be5be041b053c50024bd55a65735595.png\" width=\"332\"/>\n</center>\n\n$\\textbf{(A) } \\frac{1}{2}\\qquad\\textbf{(B) } \\frac{\\sqrt{2}}{2}\\qquad\\textbf{(C) } \\frac{\\sqrt{3}}{2}\\qquad\\textbf{(D) } \\sqrt{2} \\qquad\\textbf{(E) } \\frac{2\\sqrt{3}}{3}\\qquad$", "description_html": "<p>In rectangle  <span class=\"katex--inline\">ADEH</span> , points  <span class=\"katex--inline\">B</span>  and  <span class=\"katex--inline\">C</span>  trisect  <span class=\"katex--inline\">\\overline{AD}</span> , and points  <span class=\"katex--inline\">G</span>  and  <span class=\"katex--inline\">F</span>  trisect  <span class=\"katex--inline\">\\overline{HE}</span> . In addition,  <span class=\"katex--inline\">AH=AC=2</span> , and  <span class=\"katex--inline\">AD=3</span> . What is the area of quadrilateral  <span class=\"katex--inline\">WXYZ</span>  shown in the figure?</p>\n<center>\n<img class=\"problem-image\" height=\"232\" src=\"https://latex.artofproblemsolving.com/6/1/4/614d325a6be5be041b053c50024bd55a65735595.png\" width=\"332\"/>\n</center>\n<p> <span class=\"katex--inline\">\\textbf{(A) } \\frac{1}{2}\\qquad\\textbf{(B) } \\frac{\\sqrt{2}}{2}\\qquad\\textbf{(C) } \\frac{\\sqrt{3}}{2}\\qquad\\textbf{(D) } \\sqrt{2} \\qquad\\textbf{(E) } \\frac{2\\sqrt{3}}{3}\\qquad</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": "2006 AMC 10A Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc10A_p18", "prev": "/problem/06_amc10A_p16"}}