{"status": "success", "data": {"description_md": "Two lines with slopes $\\dfrac{1}{2}$ and $2$ intersect at $(2,2)$. What is the area of the triangle enclosed by these two lines and the line $x+y=10  ?$\n\n$\\textbf{(A) } 4 \\qquad\\textbf{(B) } 4\\sqrt{2} \\qquad\\textbf{(C) } 6 \\qquad\\textbf{(D) } 8 \\qquad\\textbf{(E) } 6\\sqrt{2}$", "description_html": "<p>Two lines with slopes  <span class=\"katex--inline\">\\dfrac{1}{2}</span>  and  <span class=\"katex--inline\">2</span>  intersect at  <span class=\"katex--inline\">(2,2)</span> . What is the area of the triangle enclosed by these two lines and the line  <span class=\"katex--inline\">x+y=10  ?</span> </p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 4 \\qquad\\textbf{(B) } 4\\sqrt{2} \\qquad\\textbf{(C) } 6 \\qquad\\textbf{(D) } 8 \\qquad\\textbf{(E) } 6\\sqrt{2}</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2019 AMC 10A Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/19_amc10A_p08", "prev": "/problem/19_amc10A_p06"}}