Question

If the side of a square is tripled, how many times the perimeter of the first square will that of the new square be?

Answer 1

Let the length of each side of the old square = s
Then, perimeter of the old square = 4 × side = 4 × s = 4s
When the length of each side of the square is tripled, then
length of each side of the new square = 3s
∴ perimeter of the new square = 4 × side
= 4 × 3s
= 3 × 4s
= 3 × perimeter of the old square [∵ perimeter of the old square = 4s]
Hence, the perimeter of the new square will become three times of the perimeter of the old square.