{"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$$\n<center>\n<img class=\"problem-image\" height=\"52\" src=\"https://latex.artofproblemsolving.com/3/e/e/3ee29f78e4a8eecdb8faec4092f2f1c361a869e4.png\" width=\"238\"/>\n</center>$$\n\n$\\text{(A) } \\frac {1}{8}\n\\qquad\n\\text{(B) } \\frac {1}{6}\n\\qquad\n\\text{(C) } \\frac {1}{5}\n\\qquad\n\\text{(D) } \\frac {1}{4}\n\\qquad\n\\text{(E) } \\frac {1}{3}$", "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/>\n$$</p>\n<center>\n<img class=\"problem-image\" height=\"52\" src=\"https://latex.artofproblemsolving.com/3/e/e/3ee29f78e4a8eecdb8faec4092f2f1c361a869e4.png\" width=\"238\"/>\n</center>$$\n<p> <span class=\"katex--inline\">\\text{(A) } \\frac {1}{8}\n\\qquad\n\\text{(B) } \\frac {1}{6}\n\\qquad\n\\text{(C) } \\frac {1}{5}\n\\qquad\n\\text{(D) } \\frac {1}{4}\n\\qquad\n\\text{(E) } \\frac {1}{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": 1, "problem_name": "2009 AMC 10B Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc10B_p05", "prev": "/problem/09_amc10B_p03"}}