{"status": "success", "data": {"description_md": "A bowl is formed by attaching four regular hexagons of side $1$ to a square of side $1$. The edges of the adjacent hexagons coincide, as shown in the figure. What is the area of the octagon obtained by joining the top eight vertices of the four hexagons, situated on the rim of the bowl? \n\n<center>\n<img class=\"problem-image\" height=\"235\" src=\"https://latex.artofproblemsolving.com/d/6/0/d604f3d349df2224a285e329575fddb9ffb746a2.png\" width=\"375\"/>\n</center>\n\n$\\textbf{(A) } 6 \\qquad \\textbf{(B) } 7 \\qquad \\textbf{(C) } 5+2\\sqrt{2} \\qquad \\textbf{(D) } 8 \\qquad \\textbf{(E) } 9$", "description_html": "<p>A bowl is formed by attaching four regular hexagons of side  <span class=\"katex--inline\">1</span>  to a square of side  <span class=\"katex--inline\">1</span> . The edges of the adjacent hexagons coincide, as shown in the figure. What is the area of the octagon obtained by joining the top eight vertices of the four hexagons, situated on the rim of the bowl?</p>\n<center>\n<img class=\"problem-image\" height=\"235\" src=\"https://latex.artofproblemsolving.com/d/6/0/d604f3d349df2224a285e329575fddb9ffb746a2.png\" width=\"375\"/>\n</center>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 6 \\qquad \\textbf{(B) } 7 \\qquad \\textbf{(C) } 5+2\\sqrt{2} \\qquad \\textbf{(D) } 8 \\qquad \\textbf{(E) } 9</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": 4, "problem_name": "2022 AMC 10A Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc10A_p22", "prev": "/problem/22_amc10A_p20"}}