{"status": "success", "data": {"description_md": "In rhombus $ABCD$, point $P$ lies on segment $\\overline{AD}$ so that $\\overline{BP}$ $\\perp$ $\\overline{AD}$, $AP = 3$, and $PD = 2$. What is the area of $ABCD$? (Note: The figure is not drawn to scale.)\n\n<center>\n<img class=\"problem-image\" height=\"185\" src=\"https://latex.artofproblemsolving.com/1/5/0/150aeac95fbc38e4ea6602817ade871e681d99e3.png\" width=\"302\"/>\n</center>\n\n$\\textbf{(A) }3\\sqrt 5 \\qquad\n\\textbf{(B) }10 \\qquad\n\\textbf{(C) }6\\sqrt 5 \\qquad\n\\textbf{(D) }20\\qquad\n\\textbf{(E) }25$", "description_html": "<p>In rhombus  <span class=\"katex--inline\">ABCD</span> , point  <span class=\"katex--inline\">P</span>  lies on segment  <span class=\"katex--inline\">\\overline{AD}</span>  so that  <span class=\"katex--inline\">\\overline{BP}</span>   <span class=\"katex--inline\">\\perp</span>   <span class=\"katex--inline\">\\overline{AD}</span> ,  <span class=\"katex--inline\">AP = 3</span> , and  <span class=\"katex--inline\">PD = 2</span> . What is the area of  <span class=\"katex--inline\">ABCD</span> ? (Note: The figure is not drawn to scale.)</p>\n<center>\n<img class=\"problem-image\" height=\"185\" src=\"https://latex.artofproblemsolving.com/1/5/0/150aeac95fbc38e4ea6602817ade871e681d99e3.png\" width=\"302\"/>\n</center>\n<p> <span class=\"katex--inline\">\\textbf{(A) }3\\sqrt 5 \\qquad\n\\textbf{(B) }10 \\qquad\n\\textbf{(C) }6\\sqrt 5 \\qquad\n\\textbf{(D) }20\\qquad\n\\textbf{(E) }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": 1, "problem_name": "2022 AMC 10B Problem 2", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc10B_p03", "prev": "/problem/22_amc10B_p01"}}