Question

If the side of a square is tripled, how many times will its area be as compared to the area of the original square ?

Answer 1

Let the length of each side of original square = s
Area of original square = side × side = s²
When the side of the square is tripled, then
length of each side of new square = 3s
Area of new square = side × side
= 3s × 3s
= 9s²
= 9 × s²
= 9 × area of original square [∵ area of original square = s²]
Hence, the area of the new square will become nine times the area of the original square.