Art of Problem Solving

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

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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>
 
$(\textbf{A})\: 4\qquad(\textbf{B}) \: 6\qquad(\textbf{C}) \: 8\qquad(\textbf{D}) \: 10\qquad(\textbf{E}) \: 1
 
==See Also==
{{AMC10 box|year=2021 Fall|ab=B|num-a=3|num-b=1}}
{{MAA Notice}}

Latest revision as of 05:45, 3 January 2022