2007 AMC 10A Problems/Problem 19

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?

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

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

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

We can't have a solution if we don't have the image, which can be found here.

Page

Toolbox

Search

2007 AMC 10A Problems/Problem 19

Problem

Solution

See also