{"status": "success", "data": {"description_md": "Doug constructs a square window using $8$ equal-size panes of glass, as shown. The ratio of the height to width for each pane is $5 : 2$, and the borders around and between the panes are $2$ inches wide. In inches, what is the side length of the square window?<br><center><img class=\"problem-image\" alt=\"[asy] fill((0,0)--(2,0)--(2,26)--(0,26)--cycle,gray); fill((6,0)--(8,0)--(8,26)--(6,26)--cycle,gray); fill((12,0)--(14,0)--(14,26)--(12,26)--cycle,gray); fill((18,0)--(20,0)--(20,26)--(18,26)--cycle,gray); fill((24,0)--(26,0)--(26,26)--(24,26)--cycle,gray); fill((0,0)--(26,0)--(26,2)--(0,2)--cycle,gray); fill((0,12)--(26,12)--(26,14)--(0,14)--cycle,gray); fill((0,24)--(26,24)--(26,26)--(0,26)--cycle,gray); [/asy]\" class=\"latexcenter\" height=\"252\" src=\"https://latex.artofproblemsolving.com/4/a/4/4a4bd527ea5f7e41a6d5541d0fc5b06615b22b69.png\" width=\"252\"/></center>\n\n$\\textbf{(A)}\\ 26\\qquad\\textbf{(B)}\\ 28\\qquad\\textbf{(C)}\\ 30\\qquad\\textbf{(D)}\\ 32\\qquad\\textbf{(E)}\\ 34$\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>Doug constructs a square window using  <span class=\"katex--inline\">8</span>  equal-size panes of glass, as shown. The ratio of the height to width for each pane is  <span class=\"katex--inline\">5 : 2</span> , and the borders around and between the panes are  <span class=\"katex--inline\">2</span>  inches wide. In inches, what is the side length of the square window?<br/><center><img class=\"latexcenter\" alt=\"[asy] fill((0,0)--(2,0)--(2,26)--(0,26)--cycle,gray); fill((6,0)--(8,0)--(8,26)--(6,26)--cycle,gray); fill((12,0)--(14,0)--(14,26)--(12,26)--cycle,gray); fill((18,0)--(20,0)--(20,26)--(18,26)--cycle,gray); fill((24,0)--(26,0)--(26,26)--(24,26)--cycle,gray); fill((0,0)--(26,0)--(26,2)--(0,2)--cycle,gray); fill((0,12)--(26,12)--(26,14)--(0,14)--cycle,gray); fill((0,24)--(26,24)--(26,26)--(0,26)--cycle,gray); [/asy]\" height=\"252\" src=\"https://latex.artofproblemsolving.com/4/a/4/4a4bd527ea5f7e41a6d5541d0fc5b06615b22b69.png\" width=\"252\"/></center></p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 26\\qquad\\textbf{(B)}\\ 28\\qquad\\textbf{(C)}\\ 30\\qquad\\textbf{(D)}\\ 32\\qquad\\textbf{(E)}\\ 34</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": "2014 AMC 12B Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc12B_p06", "prev": "/problem/14_amc12B_p04"}}