{"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><br>\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>&#10;<center>&#10;<img class=\"problem-image\" height=\"232\" src=\"https://latex.artofproblemsolving.com/6/1/4/614d325a6be5be041b053c50024bd55a65735595.png\" width=\"332\"/>&#10;</center><br/>&#10;<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>&#10;", "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"}}