Answer:
[tex]6t+5[/tex].
Step-by-step explanation:
We have been given that the lengths of the sides of the triangle are [tex]3t,2t+1[/tex] and [tex]t+4[/tex]. We are asked to find the perimeter of the given triangle.
We know that perimeter of a triangle is sum of its all sides. To find the perimeter of our given triangle, we will add all side lengths as:
[tex]\text{Perimeter}=3t+2t+1+t+4[/tex]
Therefore, the perimeter example would be [tex]3t+2t+1+t+4[/tex].
Now we will combine like terms to write
[tex]\text{Perimeter}=(3t+2t+t)+1+4[/tex]
[tex]\text{Perimeter}=6t+5[/tex]
Therefore, the perimeter of the given triangle would be [tex]6t+5[/tex].
