Question

Briefly summarise the poem An Old Women ​

Answer 1

Method 1: 
Area of ABCD is 1.
Area of PQRS = (1/2)*(diagonal1)*(diagonal2) 
Both diagonals of PQRS are 1 each since they are the same lengths as sides of ABCD
Area of PQRS = (1/2)*1*1 = 1/2

Area of leftover region = 1 - 1/2 = 1/2
The leftover region after you cut out PQRS is split into 8 equal areas and the red region is one of those 8.
Hence area of red region is (1/8)*(1/2) = 1/16

Method 2:

The perimeter of ABCD is 4 so each side is 1. So each half side is 1/2.
In triangle APQ, AP and AQ are 1/2 each so PQ=1/2√PQ=1/2 (using Pythegorean theorem)
So half of PQ is 1/22√1/22

Area of red triangle = (1/2)∗(1/22√)∗(1/22√)=1/16