Answer:
a. x = 22
b. Perimeter = 100
Explanation:
a. Based on the proportionality theorem, we have the following:
(2x - 4)/8 = (36 - 6)/6
(2x - 4)/8 = 30/6
(2x - 4)/8 = 5
Cross multiply
2x - 4 = 8*5
2x - 4 = 40
2x = 40 + 4
2x = 44
x = 44/2
x = 22
b. Perimeter of ∆JKL = KJ + KL + JL
KJ = 2x - 4 + 8
Plug in the value of x
KJ = 2(22) - 4 + 8
KJ = 44 - 4 + 8 = 48
KL = 36
JL = 16
Perimeter = 48 + 36 + 16
Perimeter = 100