2013 AMC 10B Problem 2

Problem 2 of 25EasierGeometry Arithmetic

Mr. Green measures his rectangular garden by walking two of the sides and finds that it is

15

steps by

20

steps. Each of Mr. Green’s steps is

2

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 dimensions of the garden are

2\cdot 15 = 30

feet by

2\cdot 20=40

feet. Thus, the square footage is

30\cdot 40 = 1200.

Therefore, there are

1200\cdot \dfrac 12 =600

pounds of potatoes. Thus, the correct answer is A .

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