Question

Find the area of a square if the length of its sides is doubled.Also find the ratio of new area to its previous area.

Answer 1

Area = (a)² ...(original)

Second condition, second side = 2a
So, second area = (2a)² = 4a²

Ratio of both the areas
= a²/4a²
= 1/4

i.e., 1:4

Answer 2

let the side of the square be x

area of the square = x^2

now the side is doubled
hence new side= 2x

new area = ( 2x) ^2
=4x^2

ratio both the areas = x^2 : 4x^2
=1:4


hope it helps
plzz mark as brainliest