Question

find the area of a square if the length of its sides are doubled. also find the ratio of new area to its previous area

Answer 1

let side of first square = s
area of square = s x s = s²

now , sides doubled
2s x 2s = 4s²

now ratio
s² : 4s²
1:4

Answer 2

The area of the new square will be 4x square if length of one side is considered as 2x( according to the condition - the length of the previous square is doubled)
The ratio of the new area to the previous area will be 4 is to 1.