Question

The length of one side of a square is 3n+2. The Perimeter of the square is 4(3n+2).Which expression is equivalent to the perimeter.

Answer 1

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

Answer 2

`P=12n+8`

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:

`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`

So, in this case:

`l=3n+2`

Therefore the perimeter is:

`P=3n+2+3n+2+3n+2+3n+2`

Adding like terms:

`P=(3n+3n+3n+3n)+(2+2+2+2)=12n+8`