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2007 AMC 10A Problem 19

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2007 AMC 10A Problem 19AMC 10 Step by Step

Name: Date: September 13, 2026

Quadrilaterals & Polygon Areas · difficulty 4 of 5 · about 6 min · position P16-20

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?

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

2007 AMC 10A Problem 19

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