Question

The three sides of a triangle are n, 4n−8, and 2n+8. If the perimeter of the triangle is 63 feet, what is the length of each side?

Answer 1

9 ft, 28 ft, 26 ft

Explanation:

The perimeter is the sum of side lengths, so ...

P = a + b + c

63 = n +(4n -8) +(2n +8) . . . . fill in the given side lengths

63 = 7n . . . . . . simplify

9 = n . . . . . . . . divide by 7

4n -8 = 36 -8 = 28 . . . . second side length

2n +8 = 18 +8 = 26 . . . . third side length

The side lengths are 9 ft, 28 ft, 26 ft..