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 33 feet in a yard.)
12 12
36 36
108 108
324 324
972 972
Answer: A
Concepts:unit conversionarea
Small hint:
Convert both side lengths from feet to yards first.
Big hint:
Then multiply the two yard measurements to get square yards.
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 44 yards by 33 yards, the area is 4⋅3=12 4\cdot3=12 square yards.
Thus, the correct answer is A .
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