{"status": "success", "data": {"description_md": "In the diagram, $\\triangle ABC$ is isosceles with $AB = AC$ and $BC = 30$ cm. Square $EFGH$, which has a side length of 12 cm, is inscribed in $\\triangle ABC$, as shown. The area of $\\triangle AEF$, in cm$^2$, is\n\n<center><img class=\"problem-image\" src=\"/static/cayley/2003/crops/03_cayley_p22_fig.png\" alt=\"figure\" width=\"197\"></center>\n\n$\\text{(A)}\\ 27\\qquad\\text{(B)}\\ 54\\qquad\\text{(C)}\\ 51\\qquad\\text{(D)}\\ 48\\qquad\\text{(E)}\\ 60$\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>In the diagram, <span class=\"katex--inline\">\\triangle ABC</span> is isosceles with <span class=\"katex--inline\">AB = AC</span> and <span class=\"katex--inline\">BC = 30</span> cm. Square <span class=\"katex--inline\">EFGH</span>, which has a side length of 12 cm, is inscribed in <span class=\"katex--inline\">\\triangle ABC</span>, as shown. The area of <span class=\"katex--inline\">\\triangle AEF</span>, in cm<span class=\"katex--inline\">^2</span>, is</p>\n<center><img class=\"problem-image\" src=\"/static/cayley/2003/crops/03_cayley_p22_fig.png\" alt=\"figure\" width=\"197\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 27\\qquad\\text{(B)}\\ 54\\qquad\\text{(C)}\\ 51\\qquad\\text{(D)}\\ 48\\qquad\\text{(E)}\\ 60</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": "2003 Cayley Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/03_cayley_p23", "prev": "/problem/03_cayley_p21"}}