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2013 AMC 12B Problem 2

Problem 2 of 25EasierAlgebraGeometry

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?

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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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Concepts: unit conversion · area · rate

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.