Respuesta :
Since a square's sides are all equal to each other, and the perimeter of a square is found by adding all of the sides together, we can distribute and simplify the given expression to find the answer:
4(3n+2) = 12n + 8
4(3n+2) = 12n + 8
Answer:
[tex]P=12n+8[/tex]
Step-by-step explanation:
A square is a geometric figure that is made up of four equal and parallel sides.
The perimeter is the contour of a surface or figure. In other words, in a figure, the perimeter is the sum of all its sides.
In this sense, since in a square all its sides are equal, the perimeter of a square is given by:
[tex]Perimeter=P=l+l+l+l=4l\\\\Where:\\\\l=Length \hspace{3}of \hspace{3}one\hspace{3} of\hspace{3} its\hspace{3} sides[/tex]
So, in this case:
[tex]l=3n+2[/tex]
Therefore the perimeter is:
[tex]P=3n+2+3n+2+3n+2+3n+2[/tex]
Adding like terms:
[tex]P=(3n+3n+3n+3n)+(2+2+2+2)=12n+8[/tex]