Question

if the side of a square is increased by 25%, than by how much % does its area get increased?

Answer 1

Let the side of square be 4a

Its area=16a^2

New side=5a

New area=25a^2

Change in area=9a^2

Change in percentage=9a^2/16a^2*100=56.25

Final answer=56.25 percent

Hope it helps u

Answer 2

Let side be x
If it is increased by 25%----->
25x/100+x=x/4 +x=5x/4
Older area =x^2
New area=25x^2/16
% increased=x× 100/(5x/4)
=80%