Difference between revisions of "2007 AMC 10A Problems/Problem 19"

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==Solution==
 
==Solution==
 
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{{solution}}
 
We can't have a solution if we don't have the image, which can be found [http://www.artofproblemsolving.com/Forum/viewtopic.php?p=751372#751372 here.]
 
  
 
==See also==
 
==See also==

Revision as of 16:52, 5 February 2008

Problem

A paint brush is swept along both diagonals of a square to produce the symmetric painted area, as shown. Half the area of the square is painted. What is the ratio of the side length of the square to the brush width?

2004 AMC 10A Problems-Problem 19 Picture.png

$\text{(A)}\ 2\sqrt {2} + 1 \qquad \text{(B)}\ 3\sqrt {2}\qquad \text{(C)}\ 2\sqrt {2} + 2 \qquad \text{(D)}\ 3\sqrt {2} + 1 \qquad \text{(E)}\ 3\sqrt {2} + 2$

Solution

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See also

2007 AMC 10A (ProblemsAnswer KeyResources)
Preceded by
Problem 18
Followed by
Problem 20
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 AMC 10 Problems and Solutions