{"status": "success", "data": {"description_md": "An $8$-foot by $10$-foot 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 $1/2$ 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?<br><center><img class=\"problem-image\" alt=\"[asy] unitsize(2cm); defaultpen(linewidth(.8pt)); fill(unitsquare,gray); filldraw(Arc((0,0),.5,0,90)--(0,0)--cycle,white,black); filldraw(Arc((1,0),.5,90,180)--(1,0)--cycle,white,black); filldraw(Arc((1,1),.5,180,270)--(1,1)--cycle,white,black); filldraw(Arc((0,1),.5,270,360)--(0,1)--cycle,white,black); [/asy]\" class=\"latexcenter\" height=\"98\" src=\"https://latex.artofproblemsolving.com/c/b/e/cbe2bb4966beb1c1cbc889938c8e120b7d80639b.png\" width=\"98\"/></center>\n\n$\\mathrm{(A)}\\ 80-20\\pi      \\qquad<br>\\mathrm{(B)}\\ 60-10\\pi      \\qquad<br>\\mathrm{(C)}\\ 80-10\\pi      \\qquad<br>\\mathrm{(D)}\\ 60+10\\pi      \\qquad<br>\\mathrm{(E)}\\ 80+10\\pi$\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 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\">1/2</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?<br/><center><img class=\"latexcenter\" alt=\"[asy] unitsize(2cm); defaultpen(linewidth(.8pt)); fill(unitsquare,gray); filldraw(Arc((0,0),.5,0,90)--(0,0)--cycle,white,black); filldraw(Arc((1,0),.5,90,180)--(1,0)--cycle,white,black); filldraw(Arc((1,1),.5,180,270)--(1,1)--cycle,white,black); filldraw(Arc((0,1),.5,270,360)--(0,1)--cycle,white,black); [/asy]\" height=\"98\" src=\"https://latex.artofproblemsolving.com/c/b/e/cbe2bb4966beb1c1cbc889938c8e120b7d80639b.png\" width=\"98\"/></center></p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 80-20\\pi      \\qquad\\mathrm{(B)}\\ 60-10\\pi      \\qquad\\mathrm{(C)}\\ 80-10\\pi      \\qquad\\mathrm{(D)}\\ 60+10\\pi      \\qquad\\mathrm{(E)}\\ 80+10\\pi</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": 2, "problem_name": "2005 AMC 12B Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc12B_p06", "prev": "/problem/05_amc12B_p04"}}