Question

If each side of a square is increased by 25%, then the percentage change in its area is

Answer 1

hye

let each side of the square be a , then area = a²

As given that The side is increased by 25%, then 

New side = [5a / 4]²

 

New area = (5a4)25a42  

 

Increased area= 25a²/16 - a²

Increase %=[9a²/16]/a²*100  % = 56.25%

hope it helps

/___________

maths arybhatta

......................

omkara2

Answer 2

Let the side before increase be x.
Then older area, A1 = x²
New side = x + 25x/100 = x + x/4
= 5x/4.
New area, A2 = 25x²/16
% increase =[ (A2 - A1)/A1] * 100
= (9 *100) / 16
= 56.25%