Question

a square of side 2cm has an area of 4sq. cm by how many time will its area increase if its sides are doubled

Answer 1

side of square=2cm
$area = {2}^{2} = 4 {cm}^{2}$

if side is doubled,
side = 2×2=4cm
$area = {4}^{2} = 16 {cm}^{2}$

the area will increase
$\frac{16 {cm}^{2} }{4 {cm}^{2} }$
=4 times

Answer 2

now the side is 2 cm so when the sides are doubled it will become 4cm
as we know,
area = side*side
so, after the sides are doubled,
area = 4*4=16 sq cm
now, the original area was 4 sq cm but after doubling the sides it is 16 sq cm so, we can say that the area has increased by 4 times !