Answer:
Option d is correct
4 meter
Step-by-step explanation:
Area of square is given by:
![A = s^2](https://tex.z-dn.net/?f=A%20%3D%20s%5E2)
where, s is the side of the square.
Let the length of each side of the original garden be x.
As per the statement:
A community group is planning the expansion of a square flower garden in a city park.
If each side of the original garden is increased by 9 meters.
New side of the garden become = x+ 9 meter.
It is also given that the new total area of the garden will be 169 square meters.
⇒A = 169 square meters
Using formula we have;
![(x+9)^2 = 169](https://tex.z-dn.net/?f=%28x%2B9%29%5E2%20%3D%20169)
Taking square root both sides we have;
![x+9 = 13](https://tex.z-dn.net/?f=x%2B9%20%3D%2013)
Subtract 9 from both sides we have;
x = 4 meter
Therefore, the length of each side of the original garden is, 4 meters