Question

The lengths of the sides of the triangles are 3t,2t+1 and t+4.Write an example for the perimeter(sum of the lengths).Then write an equivalent expression with 2 terms.

Answer 1

`6t+5`.

Explanation:

We have been given that the lengths of the sides of the triangle are
`3t,2t+1` and
`t+4`. 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:

`\text{Perimeter}=3t+2t+1+t+4`

Therefore, the perimeter example would be
`3t+2t+1+t+4`.

Now we will combine like terms to write

`\text{Perimeter}=(3t+2t+t)+1+4`

`\text{Perimeter}=6t+5`

Therefore, the perimeter of the given triangle would be
`6t+5`.