{"status": "success", "data": {"description_md": "The acronym AMC is shown in the rectangular grid below with grid lines spaced $1$ unit apart. In units, what is the sum of the lengths of the line segments that form the acronym AMC$?$<br><center><img class=\"problem-image\" alt=\"[asy] import olympiad; unitsize(25); for (int i = 0; i &lt; 3; ++i) { for (int j = 0; j &lt; 9; ++j) { pair A = (j,i);  } } for (int i = 0; i &lt; 3; ++i) { for (int j = 0; j &lt; 9; ++j) { if (j!= 8) { draw((j,i)--(j+1,i), dashed); } if (i!= 2) { draw((j,i)--(j,i+1), dashed); } } } draw((0,0)--(2,2),linewidth(2)); draw((2,0)--(2,2),linewidth(2)); draw((1,1)--(2,1),linewidth(2)); draw((3,0)--(3,2),linewidth(2)); draw((5,0)--(5,2),linewidth(2)); draw((4,1)--(3,2),linewidth(2)); draw((4,1)--(5,2),linewidth(2)); draw((6,0)--(8,0),linewidth(2)); draw((6,2)--(8,2),linewidth(2)); draw((6,0)--(6,2),linewidth(2)); [/asy]\" class=\"latexcenter\" height=\"88\" src=\"https://latex.artofproblemsolving.com/6/6/4/6649eb6b62018218d4086bde7597f2da9b4b10e3.png\" width=\"338\"/></center>\n\n$\\textbf{(A) } 17 \\qquad \\textbf{(B) } 15 + 2\\sqrt{2} \\qquad \\textbf{(C) } 13 + 4\\sqrt{2} \\qquad \\textbf{(D) } 11 + 6\\sqrt{2} \\qquad \\textbf{(E) } 21$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>The acronym AMC is shown in the rectangular grid below with grid lines spaced  <span class=\"katex--inline\">1</span>  unit apart. In units, what is the sum of the lengths of the line segments that form the acronym AMC <span class=\"katex--inline\">?</span> <br/><center><img class=\"latexcenter\" alt=\"[asy] import olympiad; unitsize(25); for (int i = 0; i &lt; 3; ++i) { for (int j = 0; j &lt; 9; ++j) { pair A = (j,i);  } } for (int i = 0; i &lt; 3; ++i) { for (int j = 0; j &lt; 9; ++j) { if (j&#160;!= 8) { draw((j,i)--(j+1,i), dashed); } if (i&#160;!= 2) { draw((j,i)--(j,i+1), dashed); } } } draw((0,0)--(2,2),linewidth(2)); draw((2,0)--(2,2),linewidth(2)); draw((1,1)--(2,1),linewidth(2)); draw((3,0)--(3,2),linewidth(2)); draw((5,0)--(5,2),linewidth(2)); draw((4,1)--(3,2),linewidth(2)); draw((4,1)--(5,2),linewidth(2)); draw((6,0)--(8,0),linewidth(2)); draw((6,2)--(8,2),linewidth(2)); draw((6,0)--(6,2),linewidth(2)); [/asy]\" height=\"88\" src=\"https://latex.artofproblemsolving.com/6/6/4/6649eb6b62018218d4086bde7597f2da9b4b10e3.png\" width=\"338\"/></center></p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) } 17 \\qquad \\textbf{(B) } 15 + 2\\sqrt{2} \\qquad \\textbf{(C) } 13 + 4\\sqrt{2} \\qquad \\textbf{(D) } 11 + 6\\sqrt{2} \\qquad \\textbf{(E) } 21</span> </p>&#10;<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": 2, "problem_name": "2020 AMC 12A Problem 2", "can_next": true, "can_prev": true, "nxt": "/problem/20_amc12A_p03", "prev": "/problem/20_amc12A_p01"}}