Alright, lets get started.
The length of each section what carpenter needs to cut is 3 feet and 8 inches.
Converting 3 feet and 8 inches into feet only, we know,

So, 3 feet 8 inches =
feet
It means length of each section =
feet
Carpenter needs to cut 4 sections, so length of 4 sections will be =

2/3 feet means 8 inches so she needs board 14 feet 8 inches
Board is only sold by the feet only so, she has to puchase 15 feet board. : Answer
Hope it will help :)