Difference between revisions of "2007 AMC 8 Problems/Problem 23"

(Created page with '<math> 25 - 4 </math> squares (corner) <math> - [4( \frac{3 \times 2.5}{2})] </math> <math> = </math> <math> \boxed{6} </math>')
 
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<math> 25 - 4 </math> squares (corner) <math> - [4( \frac{3 \times 2.5}{2})] </math> <math> = </math> <math> \boxed{6} </math>
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What is the area of the shaded pinwheel shown in the <math>5 \times 5</math> grid?
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<asy>
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filldraw((2.5,2.5)--(0,1)--(1,1)--(1,0)--(2.5,2.5)--(4,0)--(4,1)--(5,1)--(2.5,2.5)--(5,4)--(4,4)--(4,5)--(2.5,2.5)--(1,5)--(1,4)--(0,4)--cycle, gray, black);
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int i;
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for(i=0; i<6; i=i+1) {
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draw((i,0)--(i,5));
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draw((0,i)--(5,i));
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}</asy>
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<math> \textbf{(A)}\: 4\qquad\textbf{(B)}\: 6\qquad\textbf{(C)}\: 8\qquad\textbf{(D)}\: 10\qquad\textbf{(E)}\: 12 </math>
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==See Also==
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{{AMC8 box|year=2007|num-b=22|num-a=24}}

Revision as of 22:47, 9 December 2012

What is the area of the shaded pinwheel shown in the $5 \times 5$ grid? [asy] filldraw((2.5,2.5)--(0,1)--(1,1)--(1,0)--(2.5,2.5)--(4,0)--(4,1)--(5,1)--(2.5,2.5)--(5,4)--(4,4)--(4,5)--(2.5,2.5)--(1,5)--(1,4)--(0,4)--cycle, gray, black); int i; for(i=0; i<6; i=i+1) { draw((i,0)--(i,5)); draw((0,i)--(5,i)); }[/asy]

$\textbf{(A)}\: 4\qquad\textbf{(B)}\: 6\qquad\textbf{(C)}\: 8\qquad\textbf{(D)}\: 10\qquad\textbf{(E)}\: 12$

See Also

2007 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 22
Followed by
Problem 24
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions