{"status": "success", "data": {"description_md": "Rectangle $ABCD$ is divided into four parts of equal area by five segments as shown in the figure, where $XY = YB + BC + CZ = ZW = WD + DA + AX$, and $PQ$ is parallel to $AB$. Find the length of $AB$ (in cm) if $BC = 19$ cm and $PQ = 87$ cm.<br><br>$\\includegraphics[width=209, height=66, totalheight=66]{https://latex.artofproblemsolving.com/4/c/5/4c5a3a5e512628a73cf71452ad0d78958a95887f.png}$\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full 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>Rectangle <span class=\"katex--inline\">ABCD</span> is divided into four parts of equal area by five segments as shown in the figure, where <span class=\"katex--inline\">XY = YB + BC + CZ = ZW = WD + DA + AX</span>, and <span class=\"katex--inline\">PQ</span> is parallel to <span class=\"katex--inline\">AB</span>. Find the length of <span class=\"katex--inline\">AB</span> (in cm) if <span class=\"katex--inline\">BC = 19</span> cm and <span class=\"katex--inline\">PQ = 87</span> cm.<br/><br/><img src=\"https://latex.artofproblemsolving.com/4/c/5/4c5a3a5e512628a73cf71452ad0d78958a95887f.png\" width=\"209\" height=\"66\" class=\"problem-image\"/></p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. 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": 4, "problem_name": "1987 AIME Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/87_aime_p07", "prev": "/problem/87_aime_p05"}}