Question

The side lengths of a triangle are given by the expressions 6x + 3, 7x + 4, and 3x – 2. Write and simplify a linear expression for the perimeter of the triangle.

Answer 1

Perimeter of a figure is the sum of all sides

`P=(6x+3)+(7x+4)+(3x-2)`

now remove parenthesis

`P=6x+3+7x+4+3x-2`

group

`P=(6x+7x+3x)+(3+4-2)`

and solve

`P=16x+5`

the linear expression is

`16x+5`

it is a linear expression because the greater exponent is 1