MathDB
paper folding, area wanted (May Olympiad 2002 L1)

Source:

May 11, 2019
geometrypaperarearectangle

Problem Statement

A rectangular sheet of paper (white on one side and gray on the other) was folded three times, as shown in the figure: Rectangle 11, which was white after the first fold, has 2020 cm more perimeter than rectangle 22, which was white after the second fold, and this in turn has 1616 cm more perimeter than rectangle 33, which was white after the third fold. Determine the area of the sheet. https://cdn.artofproblemsolving.com/attachments/d/f/8e363b40654ad0d8e100eac38319ee3784a7a7.png