The length of a rectangular field is 8m and breadth is 2m. If a square field has the same perimeter as this rectangular field, find which field has the greater area.
Given:
Length of field = 8 m
Breadth of field = 2 m
Perimeter = 2 × (l + b)
= 2 × (8 + 2)
= 20 m
Area of rectangle = 8 × 2
= 16 sq.m
According to question
Perimeter of Square = Perimeter of rectangle
4 × side = 20
Side = 5 m
Area of Square = side2
= 5 × 5
= 25 sq.m
Hence square has greater area.