Question

A Triangle has a perimeter of 80 feet. If the three sides of the triangle are, n, 3n + 7, and 3n + 3, what is the length of each side?​

Answer 1

Explanation:

Givens

Perimeter = 80 feet

side 1 = n

side 2 = 3n + 7

side 3 = 3n + 3

Formula

Side 1 + side 2 + side 3 = 80

Solution

Substitute the length for each side into the equation

n + 3n + 7 + 3n + 3 = 80

7n +10 = 80 Subtract 10 from both sides

7n + 10 - 10 = 80 - 10 Combine

7x = 70 Divide by 7

7x/7 = 70/7 Combine

x = 10

Answer

Side 1 = n = 10

Side 2 = 3n + 7 = 3*10 + 7 = 37

Side 3 = 3n + 3 = 30 + 3 = 33