4 larger door can be cut for a board that is 10.5 feet long
Step-by-step explanation:
The given is:
- Doors for the small cabinets are 11.5 inches long
- Doors for the large cabinet are 2.3 time as long as the door for a small cabinet
- There is a board that is 10 1/2 feet long
We need to find how many larger door can be cut from the board
∵ 1 foot = 12 inches
∵ The board is [tex]10\frac{1}{2}[/tex] feet long
∵ [tex]10\frac{1}{2}[/tex] feet = [tex]10\frac{1}{2}[/tex] × 12 = 126 inches
∵ The small door is 11.5 inches long
∵ The larger door is 2.3 times as long as the small door
∴ The larger door = 11.5 × 2.3 = 26.45 inches long
Divide the length of the board by the length of the larger door to find
how many larger door can be cut from the board
∵ The length of the board = 126 inches
∵ The length of the larger door = 26.45 inches
∵ 126 ÷ 26.45 = 4.76
∴ 4 larger doors can be cut from the board
4 larger door can be cut for a board that is 10.5 feet long
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