{"status": "success", "data": {"description_md": "Rectangular prism $PQRSWTUV$ has a square base $PQRS$. Point $X$ is on the face $TUVW$ so that $PX = 12$, $QX = 10$ and $RX = 8$. The maximum possible area of rectangle $PQUT$ is closest to\n\n<center><img class=\"problem-image\" src=\"/static/cayley/2015/crops/15_cayley_p25_fig.png\" alt=\"figure\" width=\"398\"></center>\n\n$\\text{(A)}\\ 67.84\\qquad\\text{(B)}\\ 67.82\\qquad\\text{(C)}\\ 67.90\\qquad\\text{(D)}\\ 67.86\\qquad\\text{(E)}\\ 67.88$\n\n___\n\n**[Cayley](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>Rectangular prism <span class=\"katex--inline\">PQRSWTUV</span> has a square base <span class=\"katex--inline\">PQRS</span>. Point <span class=\"katex--inline\">X</span> is on the face <span class=\"katex--inline\">TUVW</span> so that <span class=\"katex--inline\">PX = 12</span>, <span class=\"katex--inline\">QX = 10</span> and <span class=\"katex--inline\">RX = 8</span>. The maximum possible area of rectangle <span class=\"katex--inline\">PQUT</span> is closest to</p>\n<center><img class=\"problem-image\" src=\"/static/cayley/2015/crops/15_cayley_p25_fig.png\" alt=\"figure\" width=\"398\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 67.84\\qquad\\text{(B)}\\ 67.82\\qquad\\text{(C)}\\ 67.90\\qquad\\text{(D)}\\ 67.86\\qquad\\text{(E)}\\ 67.88</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Cayley</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2015 Cayley Problem 25", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/15_cayley_p24"}}