Question

The side lengths of a triangle are given by the expressions 5x + 3, 5x – 5, and 3x – 2. Write and simplify a linear

expression for the perimeter of the triangle.

Answer 1

The perimeter is
`P=13x-4`

Explanation:

The perimeter of a triangle is the distance around its edges.

The given triangle has side lengths 5x + 3, 5x – 5, and 3x – 2.

The perimeter is :
`P=(5x+3)+(5x-5)+(3x-2)`

Group similar terms to get:

`P=5x+5x+3x+3-5-2`

Combine the similar terms to get:
`P=13x-4`

Hence the perimeter in terms of x is
`P=13x-4`