{"status": "success", "data": {"description_md": "Five rectangles, $A$, $B$, $C$, $D$, and $E$, are arranged in a square as shown below. These rectangles have dimensions $1\\times6$, $2\\times4$, $5\\times6$, $2\\times7$, and $2\\times3$, respectively. (The figure is not drawn to scale.) Which of the five rectangles is the shaded one in the middle?<br><center><img class=\"problem-image\" alt=\"[asy] size(150); currentpen = black+1.25bp; fill((3,2.5)--(3,4.5)--(5.3,4.5)--(5.3,2.5)--cycle,gray); draw((0,0)--(7,0)--(7,7)--(0,7)--(0,0)); draw((3,0)--(3,4.5)); draw((0,4.5)--(5.3,4.5)); draw((5.3,7)--(5.3,2.5)); draw((7,2.5)--(3,2.5)); [/asy]\" class=\"latexcenter\" height=\"252\" src=\"https://latex.artofproblemsolving.com/3/f/6/3f67c7fb5ddb746c008fafce34c6a4a2635b1237.png\" width=\"252\"/></center>\n\n$\\textbf{(A) }A\\qquad\\textbf{(B) }B \\qquad\\textbf{(C) }C \\qquad\\textbf{(D) }D\\qquad\\textbf{(E) }E$\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>Five rectangles,  <span class=\"katex--inline\">A</span> ,  <span class=\"katex--inline\">B</span> ,  <span class=\"katex--inline\">C</span> ,  <span class=\"katex--inline\">D</span> , and  <span class=\"katex--inline\">E</span> , are arranged in a square as shown below. These rectangles have dimensions  <span class=\"katex--inline\">1\\times6</span> ,  <span class=\"katex--inline\">2\\times4</span> ,  <span class=\"katex--inline\">5\\times6</span> ,  <span class=\"katex--inline\">2\\times7</span> , and  <span class=\"katex--inline\">2\\times3</span> , respectively. (The figure is not drawn to scale.) Which of the five rectangles is the shaded one in the middle?<br/><center><img class=\"latexcenter\" alt=\"[asy] size(150); currentpen = black+1.25bp; fill((3,2.5)--(3,4.5)--(5.3,4.5)--(5.3,2.5)--cycle,gray); draw((0,0)--(7,0)--(7,7)--(0,7)--(0,0)); draw((3,0)--(3,4.5)); draw((0,4.5)--(5.3,4.5)); draw((5.3,7)--(5.3,2.5)); draw((7,2.5)--(3,2.5)); [/asy]\" height=\"252\" src=\"https://latex.artofproblemsolving.com/3/f/6/3f67c7fb5ddb746c008fafce34c6a4a2635b1237.png\" width=\"252\"/></center></p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }A\\qquad\\textbf{(B) }B \\qquad\\textbf{(C) }C \\qquad\\textbf{(D) }D\\qquad\\textbf{(E) }E</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": "2022 AMC 12A Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc12A_p04", "prev": "/problem/22_amc12A_p02"}}