Question

If the sides of a square is increased by 25%, then how much percent does its area get increased?

Answer 1

Answer:

side of sqaure - x

area - 4x

new side= x +25x/100

125x/100=5x/4

new area = 5x÷4×4=5x

Step-by-step explanation:

difference=5x-4x=x

x÷4x *100=25% answer

Answer 2

Answer:

56.25%

Step-by-step explanation:

Let the side be x.

So, Area = x²

Now, new side = x + 25% of x

                          = x + (25/100) x = x + x/4 = 5x/4

New area = (5x/4)² = 25x²/16

increase = new area - initial area

               = 25x²/16 - x² => 9x²/16

% increase = (increase * 100)/initial

                   = (900x²/16)/x²

                     = 900/16 => 56.25 %