2013 AMC 12B Problem 2

Attempt Problem 2 of the 2013 AMC 12B below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2013 AMC 12B solutions, or check the answer key.

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2.

Mr. Green measures his rectangular garden by walking two of the sides and finds that it is 1515 steps by 2020 steps. Each of Mr. Green's steps is 22 feet long. Mr. Green expects a half a pound of potatoes per square foot from his garden. How many pounds of potatoes does Mr. Green expect from his garden?

600600

800800

10001000

12001200

14001400

Answer: A
Concepts:unit conversionarearate
Difficulty rating: 1020
Solution:

The garden is 215=302\cdot 15 = 30 feet by 220=402\cdot 20 = 40 feet, an area of 12001200 square feet. At half a pound per square foot, Mr. Green expects 121200=600\tfrac12\cdot 1200 = 600 pounds. Thus, the correct answer is A.

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