{"status": "success", "data": {"description_md": "A rectangular piece of paper whose length is $\\sqrt3$ times the width has area $A$. The paper is divided into three equal sections along the opposite lengths, and then a dotted line is drawn from the first divider to the second divider on the opposite side as shown. The paper is then folded flat along this dotted line to create a new shape with area $B$. What is the ratio $B:A$?\n\n<center>\n<img class=\"problem-image\" height=\"168\" src=\"https://latex.artofproblemsolving.com/3/8/3/383b46c75e8be868196ec01badfad01411d16223.png\" width=\"285\"/>\n</center><br>\n\n$\\textbf{(A)}\\ 1:2\\qquad\\textbf{(B)}\\ 3:5\\qquad\\textbf{(C)}\\ 2:3\\qquad\\textbf{(D)}\\ 3:4\\qquad\\textbf{(E)}\\ 4:5$", "description_html": "<p>A rectangular piece of paper whose length is <span class=\"katex--inline\">\\sqrt3</span> times the width has area <span class=\"katex--inline\">A</span>. The paper is divided into three equal sections along the opposite lengths, and then a dotted line is drawn from the first divider to the second divider on the opposite side as shown. The paper is then folded flat along this dotted line to create a new shape with area <span class=\"katex--inline\">B</span>. What is the ratio <span class=\"katex--inline\">B:A</span>?</p>&#10;<center>&#10;<img class=\"problem-image\" height=\"168\" src=\"https://latex.artofproblemsolving.com/3/8/3/383b46c75e8be868196ec01badfad01411d16223.png\" width=\"285\"/>&#10;</center><br/>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}\\ 1:2\\qquad\\textbf{(B)}\\ 3:5\\qquad\\textbf{(C)}\\ 2:3\\qquad\\textbf{(D)}\\ 3:4\\qquad\\textbf{(E)}\\ 4:5</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2014 AMC 10A Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc10A_p24", "prev": "/problem/14_amc10A_p22"}}