# Video: Using Algebraic Expressions to Describe the Perimeter of a Given Triangle

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

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### 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.