Answer:
Length CD = 42 units
Step-by-step explanation:
Perimeter of a rectangle = 2(L + B) where L = length of the rectangle and B = Breadth
Perimeter of the rectangle = 2(5x + 4x + 2)
184 = 2(9x + 2) Divide both sides by 2
9x + 2 = 184 / 2
9x + 2 = 92 Add -2 to both sides
9x = 92 - 2
9x = 90 Divide both sides by 9
x = 90 / 9
x = 10
Hence,
Length CD = 4x + 2
= 4(10) + 2
= 40 + 2
Length CD = 42 units