Answer :
Answer:
Rachel will need 49 meters of fencing.
Step-by-step explanation:
From Geometry we know that area of the square ([tex]A[/tex]), measured in square meters, is represented by the following formula:
[tex]A = l^{2}[/tex] (Eq. 1)
Where [tex]l[/tex] is the side length of the square, measured in meters.
The length of the square is now cleared:
[tex]l = \sqrt{A}[/tex]
If we know that [tex]A = 150\,m^{2}[/tex], then the side length is:
[tex]l =\sqrt{150\,m^{2}}[/tex]
[tex]l \approx 12.247\,m[/tex]
The total amount of fencing is equal to the perimeter of the square ([tex]p[/tex]), measured in meters, that is:
[tex]p = 4\cdot l[/tex] (Eq. 2)
If we know that [tex]l = 12.247\,m[/tex], then the perimeter of the square is:
[tex]p = 4\cdot (12.247\,m)[/tex]
[tex]p = 48.988\,m[/tex]
As fencing is cut into 1-m lengths, we need to round this number up to the nearest integer. That is:
[tex]p = 49\,m[/tex]
Rachel will need 49 meters of fencing.