{"status": "success", "data": {"description_md": "An $8$-foot by $10$-foot bathroom floor is tiled with square tiles of size $1$ foot by $1$ foot.  Each tile has a pattern consisting of four white quarter circles of radius $\\frac12$ foot centered at each corner of the tile.  The remaining portion of the tile is shaded.  How many square feet of the floor are shaded?\n\n<center>  \n<img class=\"problem-image\" height=\"98\" src=\"https://latex.artofproblemsolving.com/c/b/e/cbe2bb4966beb1c1cbc889938c8e120b7d80639b.png\" width=\"98\"/>  \n</center><br>\n\n$\\textbf{(A) }\\ 80-20\\pi\\qquad\\textbf{(B) }\\ 60-10\\pi\\qquad\\textbf{(C) }\\ 80-10\\pi\\qquad\\textbf{(D) }\\ 60+10\\pi\\qquad\\textbf{(E) }\\ 80+10\\pi$\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>An <span class=\"katex--inline\">8</span>-foot by <span class=\"katex--inline\">10</span>-foot bathroom floor is tiled with square tiles of size <span class=\"katex--inline\">1</span> foot by <span class=\"katex--inline\">1</span> foot.  Each tile has a pattern consisting of four white quarter circles of radius <span class=\"katex--inline\">\\frac12</span> foot centered at each corner of the tile.  The remaining portion of the tile is shaded.  How many square feet of the floor are shaded?</p>&#10;<center>  &#10;<img class=\"problem-image\" height=\"98\" src=\"https://latex.artofproblemsolving.com/c/b/e/cbe2bb4966beb1c1cbc889938c8e120b7d80639b.png\" width=\"98\"/>  &#10;</center><br/>&#10;<p><span class=\"katex--inline\">\\textbf{(A) }\\ 80-20\\pi\\qquad\\textbf{(B) }\\ 60-10\\pi\\qquad\\textbf{(C) }\\ 80-10\\pi\\qquad\\textbf{(D) }\\ 60+10\\pi\\qquad\\textbf{(E) }\\ 80+10\\pi</span></p>&#10;<hr/>&#10;<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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2005 AMC 10B Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc10B_p09", "prev": "/problem/05_amc10B_p07"}}