{"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$$<center><img class=\"problem-image\" alt=\"[asy] unitsize(2mm); defaultpen(linewidth(.8pt));  fill((0,0)--(0,5)--(5,5)--cycle,gray); fill((25,0)--(25,5)--(20,5)--cycle,gray); draw((0,0)--(0,5)--(25,5)--(25,0)--cycle); draw((0,0)--(5,5)); draw((20,5)--(25,0)); [/asy]\" class=\"latexcenter\" height=\"52\" src=\"https://latex.artofproblemsolving.com/3/e/e/3ee29f78e4a8eecdb8faec4092f2f1c361a869e4.png\" width=\"238\"/></center>$$$\\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?</p>&#10;<p> <span class=\"katex--display\">&lt;center&gt;&lt;img class=&#34;problem-image&#34; alt=&#34;[asy] unitsize(2mm); defaultpen(linewidth(.8pt));  fill((0,0)--(0,5)--(5,5)--cycle,gray); fill((25,0)--(25,5)--(20,5)--cycle,gray); draw((0,0)--(0,5)--(25,5)--(25,0)--cycle); draw((0,0)--(5,5)); draw((20,5)--(25,0)); [/asy]&#34; class=&#34;latexcenter&#34; height=&#34;52&#34; src=&#34;https://latex.artofproblemsolving.com/3/e/e/3ee29f78e4a8eecdb8faec4092f2f1c361a869e4.png&#34; width=&#34;238&#34;/&gt;&lt;/center&gt;</span>  <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><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": 2, "problem_name": "2009 AMC 12B Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc12B_p05", "prev": "/problem/09_amc12B_p03"}}