Respuesta :
Given:
A triangle has side lengths of (7.8v+2.6) centimeters, (5.3v+4.5) centimeters, and (2.4w-6.7) centimeters.
To find:
The expression which represents the perimeter, in centimeters, of the triangle.
Solution:
We know that
Perimeter of a triangle = Sum of length of all sides of the triangle
[tex]Perimeter=(7.8v+2.6)+(5.3v+4.5)+(2.4w-6.7)[/tex]
Now, combine like terms.
[tex]Perimeter=(7.8v+5.3v)+(2.4w)+(2.6+4.5-6.7)[/tex]
[tex]Perimeter=13.1v+2.4w+0.4[/tex]
Therefore, the expression for perimeter, in centimeters, of the triangle is [tex]13.1v+2.4w+0.4[/tex].