Three Unit Squares
Source: 2012 AMC10A Problem #15
February 8, 2012
geometryanalytic geometrygraphing linessloperatiosimilar trianglesAMC
Problem Statement
Three unit squares and two line segments connecting two pairs of vertices are shown. What is the area of ?[asy]
size(200);
defaultpen(linewidth(.6pt)+fontsize(12pt));
dotfactor=4;
draw((0,0)--(0,2));
draw((0,0)--(1,0));
draw((1,0)--(1,2));
draw((0,1)--(2,1));
draw((0,0)--(1,2));
draw((0,2)--(2,1));
draw((0,2)--(2,2));
draw((2,1)--(2,2));
label("",(0,2),NW);
label("",(1,2),N);
label("",(4/5,1.55),W);
dot((0,2));
dot((1,2));
dot((4/5,1.6));
dot((2,1));
dot((0,0));
[/asy]