{"status": "success", "data": {"description_md": "Square $PQRS$ lies in the first quadrant. Points $(3,0), (5,0), (7,0),$ and $(13,0)$ lie on lines $SP, RQ, PQ,$ and $SR$, respectively. What is the sum of the coordinates of the center of the square $PQRS$?\n\n$\\textbf{(A)}\\ 6\\qquad\\textbf{(B)}\\ 6.2\\qquad\\textbf{(C)}\\ 6.4\\qquad\\textbf{(D)}\\ 6.6\\qquad\\textbf{(E)}\\ 6.8$\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>Square  <span class=\"katex--inline\">PQRS</span>  lies in the first quadrant. Points  <span class=\"katex--inline\">(3,0), (5,0), (7,0),</span>  and  <span class=\"katex--inline\">(13,0)</span>  lie on lines  <span class=\"katex--inline\">SP, RQ, PQ,</span>  and  <span class=\"katex--inline\">SR</span> , respectively. What is the sum of the coordinates of the center of the square  <span class=\"katex--inline\">PQRS</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 6\\qquad\\textbf{(B)}\\ 6.2\\qquad\\textbf{(C)}\\ 6.4\\qquad\\textbf{(D)}\\ 6.6\\qquad\\textbf{(E)}\\ 6.8</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": "2012 AMC 12B Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/12_amc12B_p18", "prev": "/problem/12_amc12B_p16"}}