{"status": "success", "data": {"description_md": "Let $ABCD$ be a trapezoid with $AB||CD$, $AB = 11$, $BC = 5$, $CD = 19$, and $DA = 7$. Bisectors of $\\angle A$ and $\\angle D$ meet at $P$, and bisectors of $\\angle B$ and $\\angle C$ meet at $Q$. What is the area of hexagon $ABQCDP$?\n\n$\\textbf{(A)}\\ 28\\sqrt {3}\\qquad \\textbf{(B)}\\ 30\\sqrt {3}\\qquad \\textbf{(C)}\\ 32\\sqrt {3}\\qquad \\textbf{(D)}\\ 35\\sqrt {3}\\qquad \\textbf{(E)}\\ 36\\sqrt {3}$<br>([[2008 AMC 12B Problems/Problem 25|Solution]])\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>Let  <span class=\"katex--inline\">ABCD</span>  be a trapezoid with  <span class=\"katex--inline\">AB||CD</span> ,  <span class=\"katex--inline\">AB = 11</span> ,  <span class=\"katex--inline\">BC = 5</span> ,  <span class=\"katex--inline\">CD = 19</span> , and  <span class=\"katex--inline\">DA = 7</span> . Bisectors of  <span class=\"katex--inline\">\\angle A</span>  and  <span class=\"katex--inline\">\\angle D</span>  meet at  <span class=\"katex--inline\">P</span> , and bisectors of  <span class=\"katex--inline\">\\angle B</span>  and  <span class=\"katex--inline\">\\angle C</span>  meet at  <span class=\"katex--inline\">Q</span> . What is the area of hexagon  <span class=\"katex--inline\">ABQCDP</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 28\\sqrt {3}\\qquad \\textbf{(B)}\\ 30\\sqrt {3}\\qquad \\textbf{(C)}\\ 32\\sqrt {3}\\qquad \\textbf{(D)}\\ 35\\sqrt {3}\\qquad \\textbf{(E)}\\ 36\\sqrt {3}</span> <br/>([[2008 AMC 12B Problems/Problem 25|Solution]])</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": 5, "problem_name": "2008 AMC 12B Problem 25", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/08_amc12B_p24"}}