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- How much of the length of the aisle can Professor Peabody cover with one roll of red carpet? Solve the problem without using a ruler. Show or tell how you found your answer.
- Does Professor Peabody have any red carpet left over on his roll? How much?
Professor Peabody solves the problem this way:
“I start with enough red carpet to cover 2250 square feet. I roll 100 feet down the aisle, which covers an area of 1200 square feet. That leaves 1050 square feet worth of red carpet on the roll.
That means I can roll at least another 50 feet down the aisle. That covers another 600 square feet. Now I have 450 square feet of carpet left.
I can roll 30 more feet out down the aisle, since 30 12 = 360. That leaves just 90 square feet of red carpet on the roll.
I can roll another 7 feet since 7 12 = 84. Since there's not enough red carpet to cover another whole foot down the aisle, I'll stop there. That means the remainder is 6 square feet worth of carpet.”