Question

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

Answer 1

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 2

Option d is correct

4 meter

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