{"status": "success", "data": {"description_md": "In the diagram, $PQRS$ is a square and $M$ is the midpoint of $PQ$. The area of triangle $MQR$ is 100. The area of the square $PQRS$ is\n\n<center><img class=\"problem-image\" src=\"/static/fermat/2012/crops/12_fermat_p05_fig.png\" alt=\"figure\" width=\"218\"></center>\n\n$\\text{(A)}\\ 200\\qquad\\text{(B)}\\ 500\\qquad\\text{(C)}\\ 300\\qquad\\text{(D)}\\ 400\\qquad\\text{(E)}\\ 800$\n\n___\n\n**[Fermat](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>In the diagram, <span class=\"katex--inline\">PQRS</span> is a square and <span class=\"katex--inline\">M</span> is the midpoint of <span class=\"katex--inline\">PQ</span>. The area of triangle <span class=\"katex--inline\">MQR</span> is 100. The area of the square <span class=\"katex--inline\">PQRS</span> is</p>\n<center><img class=\"problem-image\" src=\"/static/fermat/2012/crops/12_fermat_p05_fig.png\" alt=\"figure\" width=\"218\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 200\\qquad\\text{(B)}\\ 500\\qquad\\text{(C)}\\ 300\\qquad\\text{(D)}\\ 400\\qquad\\text{(E)}\\ 800</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Fermat</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": 1, "problem_name": "2012 Fermat Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/12_fermat_p06", "prev": "/problem/12_fermat_p04"}}