Question

Doors for the small cabinets or 19.5 inches long. Doors for the large cabinets are 3.9 times as long as the doors for the small candidates. How many large doors can be cut from a board that is 11 feet long.

Answer 1

Answer: 1 large door.

Explanation:

You know that the lenght of each door for the small cabinets is:

`lenght_((small))=19.5\ in`

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:

`lenght_((large))=3.9(19.5\ in)=76.05\ in`

The lenght of the board is 11 feet, so you need to convert it to inches:

`(11\ ft)((12\ in)/(1\ ft))=132\ in`

Then, the number of large doors that can be cut from that board is:

`(132\ in)/(76.05\ in)=1.73`

So, 1 large door can be cut from that board.