Question

if the side of a square is increased by 150 percent.by what percent does the area increase?

Answer 1

If you mean that the side is 150% as big, then

1.5^2 = 2.25
so, the area increased by a factor of 225%

But, if you really mean it increased by 150%, that is, it is now 2.5 times as big, then the area is now 6.25 times as big, so it increased by 525%