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.

Question

asked Dec 18, 2020 124k views

1 Answer

Scott Markwell · Answer 1 · 2020-12-23T18:50:03+0000

Answer:

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