# If the sides of a square are increased by 20%, by what percentage does the area of the square increase?

Apr 27, 2016

Assume that the side of the square is $x$.

Therefore, if we increase a side of the square, the new side length would be $1.2 x$

Right? $1 x$ would be itself, then we increase by $0.2$, so $1.2$

Now the area:

The Old square: would be $x \cdot x$, so ${x}^{2}$

The New square: would be $1.2 x \cdot 1.2 x$, so then $1.44 {x}^{2}$

Thus, the area of the square will be increased by 44%