The perimeter of a triangle whose sides are of lengths 3x, 3x+7 and x

7x+7

Step-by-step explanation:

The perimeter of a triangle can be found by adding all the side lengths up.

The 3 side lengths are 3x, 3x+7 and x.

We can add these lengths together to find the perimeter.

3x+3x+7+x

Combine like terms. Add all the terms with a variable (x) : 3x, 3x and x.

(3x+3x+x) + 7

7x+7

The perimeter of the triangle is 7x+7

The perimeter is 7x+7

The three side lengths of the triangle are

3x, 3x+7, and x

which add to

(3x) + (3x+7) + (x) = (3x+3x+x) + 7 = 7x+7

We can optionally factor 7x+7 to get 7 (x+1)