2015 AMC 8 Problem 1

Attempt Problem 1 of the 2015 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2015 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

1.

How many square yards of carpet are required to cover a rectangular floor that is 1212 feet long and 99 feet wide? (There are 3 feet in a yard.)

12 12

36 36

108 108

324 324

972 972

Answer: A
Concepts:unit conversionarea
Difficulty rating: 370
Video solution:
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Written solution:

Since one side is 1212 feet, it would be 123=4\dfrac{12}{3} = 4 yards.

Since another side is 99 feet, it would be 93=3\dfrac{9}{3} = 3 yards.

Since the dimensions are 4 yards×3 yards,4 \text{ yards} \times 3 \text{ yards}, the area is equal to 43=12.4\cdot3 = 12.

Thus, the correct answer is A .

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