MathDB
Squares and Rectangle

Source: AMC 10 2010A Problem 2

February 10, 2010
geometryrectangleratioAMC

Problem Statement

Four identical squares and one rectangle are placed together to form one large square as shown. The length of the rectangle is how many times as large as its width? [asy]unitsize(8mm); defaultpen(linewidth(.8pt));
draw(scale(4)*unitsquare); draw((0,3)--(4,3)); draw((1,3)--(1,4)); draw((2,3)--(2,4)); draw((3,3)--(3,4));[/asy]<spanclass=latexbold>(A)</span> 54<spanclass=latexbold>(B)</span> 43<spanclass=latexbold>(C)</span> 32<spanclass=latexbold>(D)</span> 2<spanclass=latexbold>(E)</span> 3 <span class='latex-bold'>(A)</span>\ \frac {5}{4} \qquad <span class='latex-bold'>(B)</span>\ \frac {4}{3} \qquad <span class='latex-bold'>(C)</span>\ \frac {3}{2} \qquad <span class='latex-bold'>(D)</span>\ 2 \qquad <span class='latex-bold'>(E)</span>\ 3