{"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
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\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": "

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 ?

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\\textbf{(A)}\\ 1:2\\qquad\\textbf{(B)}\\ 3:5\\qquad\\textbf{(C)}\\ 2:3\\qquad\\textbf{(D)}\\ 3:4\\qquad\\textbf{(E)}\\ 4:5

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Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

", "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"}}