The sides of a pentagon are represented by x, x+2, x+5, 2x+2, and 3x-1. If the perimeter is 56, find the length of the longest side.

A) 18 B) 19 C) 17 D) 14

Perimeter = 56

⇒ x + x + 2 + x + 5 + 2x + 2 + 3x - 1 = 56

⇒8x + 8 = 56

⇒8x = 56-8

⇒x = 48/8

⇒x = 6

So the sides are

x=6

x+2=6 + 2 = 8

x + 3 = 6+3 = 9

2x+2 = (2*6) + 2=12+2 = 14

3x-1 = (3*6) - 1 = 18-1=17

Therefore, the answer is option C which is 17 units

You add all the sides together getting

8x+8

Then you put it equal to 56

8x+8=56

You subtract 8 from each side

8x=48

You divide each by 8

x=6

Then you plug in for x

Its ends up that, 3x-1 makes the largest number

3 (6) - 1=17

Answer

C) 17