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
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
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
