{"status": "success", "data": {"description_md": "A rectangular yard contains two flower beds in the shape of congruent isosceles right triangles. The remainder of the yard has a trapezoidal shape, as shown. The parallel sides of the trapezoid have lengths $15$ and $25$ meters. What fraction of the yard is occupied by the flower beds?\n<a href=\"https://imgbb.com/\"><img src=\"https://i.ibb.co/frMNFSw/image-2024-07-29-213842352.png\" alt=\"image-2024-07-29-213842352\" border=\"0\"></a>\n$\\textbf{(A)}\\ \\frac18\\qquad \\textbf{(B)}\\ \\frac16\\qquad \\textbf{(C)}\\ \\frac15\\qquad \\textbf{(D)}\\ \\frac14\\qquad \\textbf{(E)}\\ \\frac13$\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>A rectangular yard contains two flower beds in the shape of congruent isosceles right triangles. The remainder of the yard has a trapezoidal shape, as shown. The parallel sides of the trapezoid have lengths <span class=\"katex--inline\">15</span> and <span class=\"katex--inline\">25</span> meters. What fraction of the yard is occupied by the flower beds?<br/>&#10;<a href=\"https://imgbb.com/\"><img src=\"https://i.ibb.co/frMNFSw/image-2024-07-29-213842352.png\" alt=\"image-2024-07-29-213842352\" border=\"0\"/></a><br/>&#10;<span class=\"katex--inline\">\\textbf{(A)}\\ \\frac18\\qquad \\textbf{(B)}\\ \\frac16\\qquad \\textbf{(C)}\\ \\frac15\\qquad \\textbf{(D)}\\ \\frac14\\qquad \\textbf{(E)}\\ \\frac13</span></p>&#10;<hr/>&#10;<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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2009 AMC 12B Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc12B_p05", "prev": "/problem/09_amc12B_p03"}}