{"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$\\textbf{(A)}\\ \\frac{2}{7}\\qquad\\textbf{(B)}\\ \\frac{3}{7}\\qquad\\textbf{(C)}\\ \\frac{12}{25}\\qquad\\textbf{(D)}\\ \\frac{16}{25}\\qquad\\textbf{(E)}\\ \\frac{3}{4}$", "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>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\frac{2}{7}\\qquad\\textbf{(B)}\\ \\frac{3}{7}\\qquad\\textbf{(C)}\\ \\frac{12}{25}\\qquad\\textbf{(D)}\\ \\frac{16}{25}\\qquad\\textbf{(E)}\\ \\frac{3}{4}</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": 3, "problem_name": "2015 AMC 10A Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc10A_p12", "prev": "/problem/15_amc10A_p10"}}