MathDB
Israel 2012 Q1 - Tangent circles in rectangle

Source: Israel National Olympiad 2012 Q1

August 8, 2019
geometryrectanglecirclestangent circles

Problem Statement

In the picture below, the circles are tangent to each other and to the edges of the rectangle. The larger circle's radius equals 1. Determine the area of the rectangle. https://i.imgur.com/g3GUg4Z.png