MathDB
7 tangent circles and a rectangle

Source: 1997 Estonia National Olympiad Final Round grade 12 p5

March 11, 2020
geometryrectanglecircles

Problem Statement

Find the length of the longer side of the rectangle on the picture, if the shorter side has length 11 and the circles touch each other and the sides of the rectangle as shown.
https://cdn.artofproblemsolving.com/attachments/b/8/3986683247293bd089d8e83911309308ce0c3a.png