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AMC 12 2002a Problem 8

  • Paper

Betsy designed a flag using blue triangles, small white squares, and a red center square, as shown. Let BB be the total area of the blue triangles, WW the total area of the white squares, and RR the area of the red square. Which of the following is correct?

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);

(A) B=W(B) W=R(C) B=R(D) 3B=2R(E) 2R=W\text{(A)}\ B = W \text{(B)}\ W = R \text{(C)}\ B = R \text{(D)}\ 3B = 2R \text{(E)}\ 2R = W

Dataset text AMC 12 2000 to 2025. Quoted with source.

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