{"status": "success", "data": {"description_md": "The vertices of a quadrilateral lie on the graph of $y = \\ln x$, and the $x$-coordinates of these vertices are consecutive positive integers. The area of the quadrilateral is $\\ln \\frac{91}{90}$. What is the $x$-coordinate of the leftmost vertex?\n\n$\\textbf{(A)}\\ 6\\qquad\\textbf{(B)}\\ 7\\qquad\\textbf{(C)}\\ 10\\qquad\\textbf{(D)}\\ 12\\qquad\\textbf{(E)}\\ 13$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>The vertices of a quadrilateral lie on the graph of  <span class=\"katex--inline\">y = \\ln x</span> , and the  <span class=\"katex--inline\">x</span> -coordinates of these vertices are consecutive positive integers. The area of the quadrilateral is  <span class=\"katex--inline\">\\ln \\frac{91}{90}</span> . What is the  <span class=\"katex--inline\">x</span> -coordinate of the leftmost vertex?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 6\\qquad\\textbf{(B)}\\ 7\\qquad\\textbf{(C)}\\ 10\\qquad\\textbf{(D)}\\ 12\\qquad\\textbf{(E)}\\ 13</span> </p>&#10;<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": 3, "problem_name": "2020 AMC 12A Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/20_amc12A_p18", "prev": "/problem/20_amc12A_p16"}}