Question

A square sheet of 8cm side was taken and made into 64 equal small squares. Find the perimeter of square sheet and also find the sum of the perimeters of all 64 small squares. What did you observe?

Answer 1

Side of the square sheet s = 8cm

Perimeter of the square sheet = 4 x s = 4 x 8 = 32 cm

Side of the small square = 1cm

Perimeter of each small square = 4 x side = 4 x 1 = 4 cm

Perimeter of 64 small squares = 4 x 64 = 256 cm.

By observing sum of perimeters of all 64 small squares = 8 x perimeter of all squares.