Question

Write an expression for the perimeter of the triangle shown below: (4 points)

A triangle is shown with side lengths labeled 0.5x plus 9, 3x, and negative 3.4x minus 25.


6.9x − 16

6.9x + 16

0.1x − 16

0.1x + 16

Answer 1

The correct equation is: 0.1x-16

As to find out the perimeter, you need to add all sides of the triangle together:
(0.5x+9) + 3x + (-3.4-25)
then group the variables together:
(0.5x+3x-3.4) + (9-25)
0.1x - 16

Answer 2

The correct option is 3.

Explanation:

It is given that the length of sides of a triangle are 0.5x+9, 3x, and -3.4x-25.

Let a=0.5x+9, b=3x, and c=-3.4x-25.

Perimeter of a triangle is the sum of length of all three sides.

`Perimeter=a+b+c`

Substitute a=0.5x+9, b=3x, and c=-3.4x-25 in the above equation.

`Perimeter=(0.5x+9)+(3x)+(-3.4x-25)`

On simplification, we get

`Perimeter=0.5x+9+3x-3.4x-25`

Combine like terms.

`Perimeter=(0.5x+3x-3.4x)+(9-25)`

`Perimeter=(0.1x)+(-16)`

`Perimeter=0.1x-16`

Perimeter of the triangle is 0.1x-16. Therefore the correct option is 3.