{"status": "success", "data": {"description_md": "Each of the sides of a square $S_1$ with area $16$ is bisected, and a smaller square $S_2$ is constructed using the bisection points as vertices. The same process is carried out on $S_2$ to construct an even smaller square $S_3$. What is the area of $S_3$?\n\n$\\mathrm{(A)}\\ \\frac{1}{2}\\qquad\\mathrm{(B)}\\ 1\\qquad\\mathrm{(C)}\\ 2\\qquad\\mathrm{(D)}\\ 3\\qquad\\mathrm{(E)}\\ 4$", "description_html": "<p>Each of the sides of a square  <span class=\"katex--inline\">S_1</span>  with area  <span class=\"katex--inline\">16</span>  is bisected, and a smaller square  <span class=\"katex--inline\">S_2</span>  is constructed using the bisection points as vertices. The same process is carried out on  <span class=\"katex--inline\">S_2</span>  to construct an even smaller square  <span class=\"katex--inline\">S_3</span> . What is the area of  <span class=\"katex--inline\">S_3</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ \\frac{1}{2}\\qquad\\mathrm{(B)}\\ 1\\qquad\\mathrm{(C)}\\ 2\\qquad\\mathrm{(D)}\\ 3\\qquad\\mathrm{(E)}\\ 4</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": "2008 AMC 10A Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc10A_p11", "prev": "/problem/08_amc10A_p09"}}