Question

an increase of each side of a square by 25% how many percent will its area increase



with full explanation​

Answer 1

Answer:

Let the Side of Square be x

Then,

Initial area of Square = x

2

According to Question

Side is increased by 25%

New Side =x+25% of x

→x+

4

x

→

4

5x

New Area =(

4

5x

)

2

→

16

25x

2

Percentage increase in area =

x

2

16

25x

2

−x

2

×100=

16

9

×100=56.25%

Thus, Correct answer is D

Answer 2

let the side be x

According to the question

x + 25% = x^2 (area of square)

x + 25 /100 = x^2

25/100 = x^2 - x

25/100 = x

therefore x = 1/4