Difference between revisions of "2021 Fall AMC 10B Problems/Problem 2"

Latest revision as of 06:45, 3 January 2022

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-==Problem==
+#REDIRECT [[2021_Fall_AMC_12B_Problems/Problem_2]]
-What is the area of the shaded figure shown below?
-<asy>
-size(200);
-defaultpen(linewidth(0.4)+fontsize(12));
-pen s = linewidth(0.8)+fontsize(8);
-pair O,X,Y;
-O = origin;
-X = (6,0);
-Y = (0,5);
-fill((1,0)--(3,5)--(5,0)--(3,2)--cycle, palegray+opacity(0.2));
-for (int i=1; i<7; ++i)
-{
-draw((i,0)--(i,5), gray+dashed);
-label("${"+string(i)+"}$", (i,0), 2*S);
-if (i<6)
-{
-draw((0,i)--(6,i), gray+dashed);
-label("${"+string(i)+"}$", (0,i), 2*W);
-}
-}
-label("$0$", O, 2*SW);
-draw(O--X+(0.15,0), EndArrow);
-draw(O--Y+(0,0.15), EndArrow);
-draw((1,0)--(3,5)--(5,0)--(3,2)--(1,0), black+1.5);
-</asy>
-<math>(\textbf{A})\: 4\qquad(\textbf{B}) \: 6\qquad(\textbf{C}) \: 8\qquad(\textbf{D}) \: 10\qquad(\textbf{E}) \: 12</math>