Difference between revisions of "2007 AMC 10A Problems/Problem 15"

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(that is exactly what I said NOT to do...)
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The answer is (A) 32.
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==Problem==
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Four circles of radius <math>1</math> are each tangent to two sides of a square and externally tangent to a circle of radius <math>2</math>, as shown. What is the area of the square?
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{{image}}
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<math>\text{(A)}\ 32 \qquad \text{(B)}\ 22 + 12\sqrt {2}\qquad \text{(C)}\ 16 + 16\sqrt {3}\qquad \text{(D)}\ 48 \qquad \text{(E)}\ 36 + 16\sqrt {2}</math>
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==Solution==
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{{solution}}
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==See Also==
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[[Category:Introductory Geometry Problems]]

Revision as of 17:12, 21 January 2008

Problem

Four circles of radius $1$ are each tangent to two sides of a square and externally tangent to a circle of radius $2$, as shown. What is the area of the square?


An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.


$\text{(A)}\ 32 \qquad \text{(B)}\ 22 + 12\sqrt {2}\qquad \text{(C)}\ 16 + 16\sqrt {3}\qquad \text{(D)}\ 48 \qquad \text{(E)}\ 36 + 16\sqrt {2}$

Solution

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See Also

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