a rectangle is divided into 9 smaller rectangles, 4 areas given
Source: 2004 Bosnia & Herzegovina JBMO TST p2
May 27, 2020
geometryrectanglearea
Problem Statement
A rectangle is divided into smaller rectangles. The area of four of them is and , as in the picture below.
(The picture is not at scale.)
https://cdn.artofproblemsolving.com/attachments/8/e/0ccd6f41073f776b62e9ef4522df1f1639ee31.png
Determine the minimum area of the rectangle. Under what circumstances is it achieved?