{"status": "success", "data": {"description_md": "The diagram below shows a rectangle with side lengths $4$ and $8$ and a square with side length $5$. Three vertices of the square lie on three different sides of the rectangle, as shown. What is the area of the region inside both the square and the rectangle?\n\n<center>\n<img class=\"problem-image\" height=\"215\" src=\"https://latex.artofproblemsolving.com/6/4/5/645fb1f79da2019263c13108f385196fb1b0a8bd.png\" width=\"238\"/>\n</center>\n\n$\\textbf{(A) }15\\dfrac{1}{8}  \\qquad\n\\textbf{(B) }15\\dfrac{3}{8}  \\qquad\n\\textbf{(C) }15\\dfrac{1}{2}  \\qquad\n\\textbf{(D) }15\\dfrac{5}{8}  \\qquad\n\\textbf{(E) }15\\dfrac{7}{8}$", "description_html": "<p>The diagram below shows a rectangle with side lengths  <span class=\"katex--inline\">4</span>  and  <span class=\"katex--inline\">8</span>  and a square with side length  <span class=\"katex--inline\">5</span> . Three vertices of the square lie on three different sides of the rectangle, as shown. What is the area of the region inside both the square and the rectangle?</p>\n<center>\n<img class=\"problem-image\" height=\"215\" src=\"https://latex.artofproblemsolving.com/6/4/5/645fb1f79da2019263c13108f385196fb1b0a8bd.png\" width=\"238\"/>\n</center>\n<p> <span class=\"katex--inline\">\\textbf{(A) }15\\dfrac{1}{8}  \\qquad\n\\textbf{(B) }15\\dfrac{3}{8}  \\qquad\n\\textbf{(C) }15\\dfrac{1}{2}  \\qquad\n\\textbf{(D) }15\\dfrac{5}{8}  \\qquad\n\\textbf{(E) }15\\dfrac{7}{8}</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": "2022 AMC 10B Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc10B_p17", "prev": "/problem/22_amc10B_p15"}}