{"status": "success", "data": {"description_md": "Rectangle $ABCD$ has $AB=3$ and $BC=4$. Point $E$ is the foot of the perpendicular from $B$ to diagonal $\\overline{AC}$. What is the area of $\\triangle AED$?\n\n$\\textbf{(A)}\\ 1\\qquad\\textbf{(B)}\\ \\frac{42}{25}\\qquad\\textbf{(C)}\\ \\frac{28}{15}\\qquad\\textbf{(D)}\\ 2\\qquad\\textbf{(E)}\\ \\frac{54}{25}$", "description_html": "<p>Rectangle  <span class=\"katex--inline\">ABCD</span>  has  <span class=\"katex--inline\">AB=3</span>  and  <span class=\"katex--inline\">BC=4</span> . Point  <span class=\"katex--inline\">E</span>  is the foot of the perpendicular from  <span class=\"katex--inline\">B</span>  to diagonal  <span class=\"katex--inline\">\\overline{AC}</span> . What is the area of  <span class=\"katex--inline\">\\triangle AED</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 1\\qquad\\textbf{(B)}\\ \\frac{42}{25}\\qquad\\textbf{(C)}\\ \\frac{28}{15}\\qquad\\textbf{(D)}\\ 2\\qquad\\textbf{(E)}\\ \\frac{54}{25}</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": "2017 AMC 10B Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc10B_p16", "prev": "/problem/17_amc10B_p14"}}