Rachel is building a fence around her yard. She wants to create a square area that will have an area of 150 m. Of the fencing has been cut into 1m lengths, how much fencing will Rachel need?

Rachel will need 49 meters of fencing.

Step-by-step explanation:

From Geometry we know that area of the square (), measured in square meters, is represented by the following formula:

(Eq. 1)

Where is the side length of the square, measured in meters.

The length of the square is now cleared:

If we know that , then the side length is:

The total amount of fencing is equal to the perimeter of the square (), measured in meters, that is:

(Eq. 2)

If we know that , then the perimeter of the square is:

As fencing is cut into 1-m lengths, we need to round this number up to the nearest integer. That is:

Rachel will need 49 meters of fencing.