Question

The side length of a square is increased by 50%. By what percent is the area increased?

Answer 1

Answer:

125%

Step-by-step explanation:

In this kind of question, we could choose any arbitrary value for the length of the side of the square.

Let’s say the square is 10m in length, a 50% increase in the length means we add 5 to the original length making the new length to be 15m.

The area of a square is L^2

The former area is 10 * 10 = 100 while the new area is 15 * 15 = 225

The percentage increase is calculated as follows:

We simply subtract the old from the new to yield 225 - 100 = 125

The percentage increase would now be :

125/100 * 100 = 125%