Answer:
AB = 22 units
Explanation:
the perimeter (P) of a rectangle is calculated as
P = 2(length + width )
given P = 74 , length = AB = 4y + 2 , width = BC = 3y
substitute these values into the formula for P
74 = 2(4y + 2 + 3y)
74 = 2(7y + 2) ← divide both sides by 2
37 = 7y + 2 ( subtract 2 from both sides )
35 = 7y ( divide both sides by 7 )
5 = y
Then
AB = 4y + 2 = 4(5) + 2 = 20 + 2 = 22 units