Textbook ExpertVerified Tutor
3 Jan 2022
Given information
Given a square ABCD in which sides AB and AD have been divided into segments of lengths 1,2,3,...n. Thus the side of square has length n(n+1)/2 so the area is .
the area is also the sum of the areas of the n "gnomons" shown in the figure.
Step-by-step explanation
Step 1.
is square with side length 1.
so area of
now, area of (area of square with side length 1+2=3) - area of
area of (area of square with side length 1+2+3=6)-(area of + area of )
=
area of (area of square with side length 1+2+3+4=10)-(area of + area of + area of )