MathDB
Rectangles and squares

Source: AMC 10 2006B Problem 5

February 17, 2006
geometryrectangleAMC

Problem Statement

A 2 x 3 rectangle and a 3 x 4 rectangle are contained within a square without overlapping at any interior point, and the sides of the square are parallel to the sides of the two given rectangles. What is the smallest possible area of the square? <spanclass=latexbold>(A)</span>16<spanclass=latexbold>(B)</span>25<spanclass=latexbold>(C)</span>36<spanclass=latexbold>(D)</span>49<spanclass=latexbold>(E)</span>64 <span class='latex-bold'>(A) </span> 16 \qquad <span class='latex-bold'>(B) </span> 25 \qquad <span class='latex-bold'>(C) </span> 36 \qquad <span class='latex-bold'>(D) </span> 49 \qquad <span class='latex-bold'>(E) </span> 64