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Part of 2004 Bosnia and Herzegovina Junior BMO TST

Problems(1)

a rectangle is divided into 9 smaller rectangles, 4 areas given

Source: 2004 Bosnia & Herzegovina JBMO TST p2

5/27/2020
A rectangle is divided into 99 smaller rectangles. The area of four of them is 5,3,95, 3, 9 and 22, 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?
geometryrectanglearea