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, the new total area of the garden will be 169 square meters. Find the length of each side of the original garden. (1 point)

9 m

13 m

2 m

4 m

Verified Answer :

Tinos

You square the new total area which you are given for the garden and then you subtract by 9 meters and then you get 4 m.

Answer:

Option d is correct

4 meter

Step-by-step explanation:

Area of square is given by:

\(A = s^2\)

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;

\((x+9)^2 = 169\)

Taking square root both sides we have;

\(x+9 = 13\)

Subtract 9 from both sides we have;

x = 4 meter

Therefore, the length of each side of the original garden is, 4 meters