Question

"The diagram above represents a square garden. If each side of the garden is increased in length by 50%, by what percent is the area of the garden increased?" Whats the explanation for this problem, I cant seem to figure it out?

Answer 1

Answer:

Step-by-step explanation:

Let's say that each side of the square is of length $s$. The area of this square would then be:

$A = s^{2}$

If we increase the length of each side by 50%, then the length becomes $1.5s$, which will result in the area being:

$A = (1.5s)(1.5s)$

$A = 2.25s^{2}$

This means the area has increased by $1.25$ the original amount, or 125%.