{"status": "success", "data": {"description_md": "Betsy designed a flag using blue triangles, small white squares, and a red center square, as shown. Let $B$ be the total area of the blue triangles, $W$ the total area of the white squares, and $R$ the area of the red square. Which of the following is correct?<br><center><img class=\"problem-image\" alt=\"[asy] unitsize(3mm); fill((-4,-4)--(-4,4)--(4,4)--(4,-4)--cycle,blue); fill((-2,-2)--(-2,2)--(2,2)--(2,-2)--cycle,red); path onewhite=(-3,3)--(-2,4)--(-1,3)--(-2,2)--(-3,3)--(-1,3)--(0,4)--(1,3)--(0,2)--(-1,3)--(1,3)--(2,4)--(3,3)--(2,2)--(1,3)--cycle; path divider=(-2,2)--(-3,3)--cycle; fill(onewhite,white); fill(rotate(90)*onewhite,white); fill(rotate(180)*onewhite,white); fill(rotate(270)*onewhite,white); [/asy]\" class=\"latexcenter\" height=\"115\" src=\"https://latex.artofproblemsolving.com/a/0/b/a0b90bdab50e7b1984850bd644f9291ddc2de34e.png\" width=\"115\"/></center><br> \n\n$\\text{(A)}\\ B = W \\qquad \\text{(B)}\\ W = R \\qquad \\text{(C)}\\ B = R \\qquad \\text{(D)}\\ 3B = 2R \\qquad \\text{(E)}\\ 2R = W$\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>Betsy designed a flag using blue triangles, small white squares, and a red center square, as shown. Let  <span class=\"katex--inline\">B</span>  be the total area of the blue triangles,  <span class=\"katex--inline\">W</span>  the total area of the white squares, and  <span class=\"katex--inline\">R</span>  the area of the red square. Which of the following is correct?<br/><center><img class=\"latexcenter\" alt=\"[asy] unitsize(3mm); fill((-4,-4)--(-4,4)--(4,4)--(4,-4)--cycle,blue); fill((-2,-2)--(-2,2)--(2,2)--(2,-2)--cycle,red); path onewhite=(-3,3)--(-2,4)--(-1,3)--(-2,2)--(-3,3)--(-1,3)--(0,4)--(1,3)--(0,2)--(-1,3)--(1,3)--(2,4)--(3,3)--(2,2)--(1,3)--cycle; path divider=(-2,2)--(-3,3)--cycle; fill(onewhite,white); fill(rotate(90)*onewhite,white); fill(rotate(180)*onewhite,white); fill(rotate(270)*onewhite,white); [/asy]\" height=\"115\" src=\"https://latex.artofproblemsolving.com/a/0/b/a0b90bdab50e7b1984850bd644f9291ddc2de34e.png\" width=\"115\"/></center><br/></p>&#10;<p> <span class=\"katex--inline\">\\text{(A)}\\ B = W \\qquad \\text{(B)}\\ W = R \\qquad \\text{(C)}\\ B = R \\qquad \\text{(D)}\\ 3B = 2R \\qquad \\text{(E)}\\ 2R = W</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": "2002 AMC 12A Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc12A_p09", "prev": "/problem/02_amc12A_p07"}}