Question

what happens to the area of a square it
its side is doubled

Answer 1

We know that 

Area of a square = (Side)²

When the side gets doubled, 

New Area = 2side²
= 4side²

Therefore, the area of the square increases 4 times

Answer 2

By  Example,

let side be x,

Then,

Area of square  = $side^{2} = x^{2}$
_____________________________


when, side doubled,

side = 2x 

Area of square = $side^{2} = (2x)^{2} = 4 x^{2}$


Now,


$\frac{4 x^{2} }{ x^{2} }$

= 4


Hence,

the area of new square is 4 times of the area of old square 


i hope this will help you


-by ABHAY