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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

2 Answers

2 votes
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

User Dayanna
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7.0k points
4 votes

Answer:

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.

User Ryan Warner
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7.0k points