Amar drew a square. He then erased it and drew a second square whose sides were 3 times the sides of the first square. By what percent was the area of the square increased?

Amar drew a square. He then erased it and drew a second square whose sides were 3 times the sides of the first square. By what percent was the area of the square increased?

Explanation

Let side of the square = a

Area = a 2

  new side = 3a

Hence, new area = (3a)

2 =9a 2 Precentage increase in area = 

a 2 9a 2−a 2 ×100=800%