Question

If each side of a square is doubled, the factor by which area of the square will change is ___ times.

Answer 1

Let the side of the square be 'a'.
Area = $a^2$
After doubling, the side of the square = 2a
Now, area = $(2a{)}^2$ = $2a\times 2a$ = $4a^2$
The factor by which area of the square will change is 4 times the initial area.