Question

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 . how many larger door can be cut for a board that is 10 1/2 feet long
(But on my homework I have multiple choice and my answers are 30-35)

Answer 1

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 $10\frac{1}{2}$ feet long

∵ $10\frac{1}{2}$ feet = $10\frac{1}{2}$ × 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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