{"status": "success", "data": {"description_md": "A square is cut along a diagonal and reassembled to form the parallelogram $PQRS$ as shown in the diagram. If $PR = 90$ mm, what is the area of the original square, in mm$^2$?\n\n<center><img class=\"problem-image\" src=\"/static/fermat/2014/crops/14_fermat_p18_fig.png\" alt=\"figure\" width=\"288\"></center>\n\n$\\text{(A)}\\ 324\\qquad\\text{(B)}\\ 1620\\qquad\\text{(C)}\\ 1800\\qquad\\text{(D)}\\ 2025\\qquad\\text{(E)}\\ 2700$\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>A square is cut along a diagonal and reassembled to form the parallelogram <span class=\"katex--inline\">PQRS</span> as shown in the diagram. If <span class=\"katex--inline\">PR = 90</span> mm, what is the area of the original square, in mm<span class=\"katex--inline\">^2</span>?</p>\n<center><img class=\"problem-image\" src=\"/static/fermat/2014/crops/14_fermat_p18_fig.png\" alt=\"figure\" width=\"288\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 324\\qquad\\text{(B)}\\ 1620\\qquad\\text{(C)}\\ 1800\\qquad\\text{(D)}\\ 2025\\qquad\\text{(E)}\\ 2700</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": 2, "problem_name": "2014 Fermat Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/14_fermat_p19", "prev": "/problem/14_fermat_p17"}}