MathDB
area of a folded 12x18 rectangle (2018 Auckland MO S3)

Source:

December 31, 2020
geometrypaper foldingfoldingrectanglearea

Problem Statement

A rectangular sheet of paper whose dimensions are 12×1812 \times 18 is folded along a diagonal, creating the MM-shaped region drawn in the picture (see below). Find the area of the shaded region. https://cdn.artofproblemsolving.com/attachments/4/7/d82cde3e91ab83fa14cd6cefe9bba28462dde1.png