MathDB
compare areas, midpoints in square (2023 Novosibirsk Oral Geo Oly 7.2)

Source:

September 4, 2023
geometryareassquare

Problem Statement

In the square, the midpoints of the two sides were marked and the segments shown in the figure on the left were drawn. Which of the shaded quadrilaterals has the largest area? https://cdn.artofproblemsolving.com/attachments/d/f/2be7bcda3fa04943687de9e043bd8baf40c98c.png