The three sides of a triangle are n, 3n+2, and 5n−6. If the perimeter of the triangle is 41 feet, what is the length of each side?

Question

The three sides of a triangle are n, 3n+2, and 5n−6. If the perimeter of the triangle is 41 feet, what is the length of each side?

Answer 1

Set the sum of the lengths of the 3 sides equal to the perimeter and solve for n.

 

n + (3n + 2) + (5n - 6) = 41

 

Can you solve for n, get 3n + 2 and 5n - 6, and finish from here?