Answer: 1 large door.
Step-by-step explanation:
You know that the lenght of each door for the small cabinets is:
[tex]lenght_{(small)}=19.5\ in[/tex]
Since the lenght of the doors for the large cabinets are 3.9 times as long as the doors for the small candidates, the lenght of any of these doors is:
[tex]lenght_{(large)}=3.9(19.5\ in)=76.05\ in[/tex]
The lenght of the board is 11 feet, so you need to convert it to inches:
[tex](11\ ft)(\frac{12\ in}{1\ ft})=132\ in[/tex]
Then, the number of large doors that can be cut from that board is:
[tex]\frac{132\ in}{76.05\ in}=1.73[/tex]
So, 1 large door can be cut from that board.
