{"status": "success", "data": {"description_md": "A triangle is partitioned into three triangles and a quadrilateral by drawing two lines from vertices to their opposite sides. The areas of the three triangles are 3, 7, and 7 as shown. What is the area of the shaded quadrilateral?\n\n<center>\n<img class=\"problem-image\" height=\"145\" src=\"https://latex.artofproblemsolving.com/c/f/7/cf791fd7b612d29ad4afcad408d1c4e8e0c60790.png\" width=\"215\"/>\n</center>\n\n$\\mathrm{(A) \\ } 15\\qquad \\mathrm{(B) \\ } 17\\qquad \\mathrm{(C) \\ } \\frac{35}{2}\\qquad \\mathrm{(D) \\ } 18\\qquad \\mathrm{(E) \\ } \\frac{55}{3}$", "description_html": "<p>A triangle is partitioned into three triangles and a quadrilateral by drawing two lines from vertices to their opposite sides. The areas of the three triangles are 3, 7, and 7 as shown. What is the area of the shaded quadrilateral?</p>\n<center>\n<img class=\"problem-image\" height=\"145\" src=\"https://latex.artofproblemsolving.com/c/f/7/cf791fd7b612d29ad4afcad408d1c4e8e0c60790.png\" width=\"215\"/>\n</center>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 15\\qquad \\mathrm{(B) \\ } 17\\qquad \\mathrm{(C) \\ } \\frac{35}{2}\\qquad \\mathrm{(D) \\ } 18\\qquad \\mathrm{(E) \\ } \\frac{55}{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": 4, "problem_name": "2006 AMC 10B Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc10B_p24", "prev": "/problem/06_amc10B_p22"}}