Given:
The side lengths of a triangle are (4.5m - 2.7) centimeters, (9.4m + 4.2) centimeters, and (5.3n +9.7) centimeters.
To find:
The perimeter of the triangle.
Solution:
Perimeter of the triangle is the sum of all side lengths of a triangle.
[tex]Perimeter=(4.5m-2.7)+(9.4m+4.2)+(5.3n+9.7)[/tex]
On combining like terms, we get
[tex]Perimeter=(4.5m+9.4m)+5.3n+(4.2-2.7+9.7)[/tex]
[tex]Perimeter=13.9m+5.3n+11.2[/tex]
The perimeter of the triangle is (13.9m+5.3n+11.2) centimeters.
Therefore, the correct option is b.
