The perimeter of the rectangle:
2(4y)+2(3y+3) and 146 units.
We have the equation:
[tex]2(4y)+2(3y+3)=146\qquad|\text{use distributive property}\\\\8y+(2)(3y)+(2)(3)=146\\\\8y+6y+6=146\qquad|\text{combine like terms}\\\\14y+6=146\qquad|\text{subtract 6 from both sides}\\\\14y=140\qquad|\text{divide both sides by 14}\\\\y=10\\\\AD=4y\to AD=4(10)=40[/tex]
Answer: AD = 40 units.
