{"status": "success", "data": {"description_md": "The ratio of the length to the width of a rectangle is $4$ : $3$. If the rectangle has diagonal of length $d$, then the area may be expressed as $kd^2$ for some constant $k$. What is $k$?\n\n$\\textbf{(A)}\\ \\frac27 \\qquad\\textbf{(B)}\\ \\frac37 \\qquad\\textbf{(C)}\\ \\frac{12}{25} \\qquad\\textbf{(D)}\\ \\frac{16}{25} \\qquad\\textbf{(E)}\\ \\frac34$\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>The ratio of the length to the width of a rectangle is  <span class=\"katex--inline\">4</span>  :  <span class=\"katex--inline\">3</span> . If the rectangle has diagonal of length  <span class=\"katex--inline\">d</span> , then the area may be expressed as  <span class=\"katex--inline\">kd^2</span>  for some constant  <span class=\"katex--inline\">k</span> . What is  <span class=\"katex--inline\">k</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\frac27 \\qquad\\textbf{(B)}\\ \\frac37 \\qquad\\textbf{(C)}\\ \\frac{12}{25} \\qquad\\textbf{(D)}\\ \\frac{16}{25} \\qquad\\textbf{(E)}\\ \\frac34</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": "2015 AMC 12A Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc12A_p09", "prev": "/problem/15_amc12A_p07"}}