Printable

2006 AMC 10B Problem 5

Include the solution Back to the problem

2006 AMC 10B Problem 5AMC 10 Step by Step

Name: Date: September 13, 2026

Geometric Optimization · difficulty 2 of 5 · about 2 min · position P1-10

A $2 \times 3$ rectangle and a $3 \times 4$ rectangle are contained within a square without overlapping at any 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?

A)
$16$
B)
$25$
C)
$36$
D)
$49$
E)
$64$

2006 AMC 10B Problem 5

Working