{"status": "success", "data": {"description_md": "Five unit squares are arranged in the coordinate plane as shown, with the lower left corner at the origin. The slanted line, extending from $(c,0)$ to $(3,3)$, divides the entire region into two regions of equal area. What is $c$?<br><center><img class=\"problem-image\" alt='[asy] unitsize(0.2cm); defaultpen(linewidth(.8pt)+fontsize(8pt));  fill((2/3,0)--(3,3)--(3,1)--(2,1)--(2,0)--cycle,gray);  xaxis(\"$x$\",-0.5,4,EndArrow(HookHead,4)); yaxis(\"$y$\",-0.5,4,EndArrow(4));  draw((0,1)--(3,1)--(3,3)--(2,3)--(2,0)); draw((1,0)--(1,2)--(3,2)); draw((2/3,0)--(3,3));  label(\"$(c,0)$\",(2/3,0),S); label(\"$(3,3)$\",(3,3),NE); [/asy]' class=\"latexcenter\" height=\"368\" src=\"https://latex.artofproblemsolving.com/f/6/5/f6555a485643d4132b1cf51c92ce8523144dcfe9.png\" width=\"368\"/></center>$\\textbf{(A)}\\ \\frac12\\qquad \\textbf{(B)}\\ \\frac35\\qquad \\textbf{(C)}\\ \\frac23\\qquad \\textbf{(D)}\\ \\frac34\\qquad \\textbf{(E)}\\ \\frac45$\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 unit squares are arranged in the coordinate plane as shown, with the lower left corner at the origin. The slanted line, extending from  <span class=\"katex--inline\">(c,0)</span>  to  <span class=\"katex--inline\">(3,3)</span> , divides the entire region into two regions of equal area. What is  <span class=\"katex--inline\">c</span> ?<br/><center><img class=\"latexcenter\" alt=\"[asy] unitsize(0.2cm); defaultpen(linewidth(.8pt)+fontsize(8pt));  fill((2/3,0)--(3,3)--(3,1)--(2,1)--(2,0)--cycle,gray);  xaxis(&#34;$x$&#34;,-0.5,4,EndArrow(HookHead,4)); yaxis(&#34;$y$&#34;,-0.5,4,EndArrow(4));  draw((0,1)--(3,1)--(3,3)--(2,3)--(2,0)); draw((1,0)--(1,2)--(3,2)); draw((2/3,0)--(3,3));  label(&#34;$(c,0)$&#34;,(2/3,0),S); label(&#34;$(3,3)$&#34;,(3,3),NE); [/asy]\" height=\"368\" src=\"https://latex.artofproblemsolving.com/f/6/5/f6555a485643d4132b1cf51c92ce8523144dcfe9.png\" width=\"368\"/></center> <span class=\"katex--inline\">\\textbf{(A)}\\ \\frac12\\qquad \\textbf{(B)}\\ \\frac35\\qquad \\textbf{(C)}\\ \\frac23\\qquad \\textbf{(D)}\\ \\frac34\\qquad \\textbf{(E)}\\ \\frac45</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": 3, "problem_name": "2009 AMC 12B Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc12B_p15", "prev": "/problem/09_amc12B_p13"}}