A room measures 12 1/2 feet on each side. How many square feet of carpeting are needed to completely cover the floor?

Master the NLN PAX Mathematics 1 Exam with our comprehensive study guide and quizzes. Test your knowledge with multiple choice questions tailored for the PAX Math exam, featuring detailed explanations and tips to enhance your preparation and increase your chances of success.

Multiple Choice

A room measures 12 1/2 feet on each side. How many square feet of carpeting are needed to completely cover the floor?

Explanation:
The amount of carpet needed for a square room is found by squaring the side length. Here, each side is 12 1/2 feet, which is 25/2 in fractional form. Squaring gives (25/2)^2 = 625/4 = 156 1/4. So you need 156 1/4 square feet of carpet (156.25 square feet in decimal form). The other options don’t fit because they correspond to smaller or different side lengths; for example, 25 would come from a 5-by-5 space and 50 from a bit over 7 by 7, while 144 1/4 would require a side about 12.01 feet, not 12 1/2.

The amount of carpet needed for a square room is found by squaring the side length. Here, each side is 12 1/2 feet, which is 25/2 in fractional form. Squaring gives (25/2)^2 = 625/4 = 156 1/4. So you need 156 1/4 square feet of carpet (156.25 square feet in decimal form). The other options don’t fit because they correspond to smaller or different side lengths; for example, 25 would come from a 5-by-5 space and 50 from a bit over 7 by 7, while 144 1/4 would require a side about 12.01 feet, not 12 1/2.

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