Question

The sides of a square are increased by 50%.Find the percentage increase in its area. ​

Answer 1

Answer:

Let side of square =x

Area =x

2

After 50% increase in side

side length =x+50% of x

=

2

3

x

Area =(

2

3x

)

2

=

4

9

x

2

percentage increase in are =

Ainitial

Ainitial−Ainitial

×100

=

x

2

4

9

x

2

−x

2

×100

=

4

5

x

2

x

2

×100=125%