### Video Transcript

Write in the simplest form an expression that represents the perimeter of the given
triangle.

The three lengths of the triangle are five 𝑥, five 𝑥 plus eight, and six 𝑥 minus
two. In order to calculate the perimeter of any shape, we add the lengths of the
sides.

In this case we need to add five 𝑥, five 𝑥 plus eight, and six 𝑥 minus two. Our next step is to group the like terms, firstly all those 𝑥 terms: five 𝑥 another
five 𝑥, and the six 𝑥. Secondly, we need to group the numbers positive eight and negative two.

Five 𝑥 plus five 𝑥 plus six 𝑥 is 16𝑥 as five plus five plus six equals 16. Grouping the positive eight and negative two gives us positive six as eight minus two
equals six.

Therefore, the expression for the perimeter of the triangle in its simplest form is
16𝑥 plus six. This method can be used to find an expression for the perimeter for
any shape.