ths Toolkit - Problem of the Week
31 October 2022
GOLD
From Square to Hexagon
A square piece of paper, PQRS, has side length 40 cm. The page is grey on one side and
white on the other side. Point M is the midpoint of side PQ and point N is the midpoint of
side PS.
The paper is folded along MN so that P touches the paper at the point P.
Point T lies on QR and point U lies on SR such that TU is parallel to MN, and when the
paper is folded along TU, the point R touches the paper at the point R' on MN.
area of A
area of D
What is the area of hexagon NMQTUS?