{"status": "success", "data": {"description_md": "The point $(p, q)$ is on the line $y = \\frac{2}{5}x$, as shown. Also, the area of the rectangle shown is 90. What is the value of $p$?\n\n<center><img class=\"problem-image\" src=\"/static/cayley/2012/crops/12_cayley_p12_fig.png\" alt=\"figure\" width=\"302\"></center>\n\n$\\text{(A)}\\ 12\\qquad\\text{(B)}\\ 9\\qquad\\text{(C)}\\ 10\\qquad\\text{(D)}\\ 15\\qquad\\text{(E)}\\ 30$\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>The point <span class=\"katex--inline\">(p, q)</span> is on the line <span class=\"katex--inline\">y = \\frac{2}{5}x</span>, as shown. Also, the area of the rectangle shown is 90. What is the value of <span class=\"katex--inline\">p</span>?</p>\n<center><img class=\"problem-image\" src=\"/static/cayley/2012/crops/12_cayley_p12_fig.png\" alt=\"figure\" width=\"302\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 12\\qquad\\text{(B)}\\ 9\\qquad\\text{(C)}\\ 10\\qquad\\text{(D)}\\ 15\\qquad\\text{(E)}\\ 30</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": 1, "problem_name": "2012 Cayley Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/12_cayley_p13", "prev": "/problem/12_cayley_p11"}}