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2023 AMC 12B Problem 4

Problem 4 of 25EasierAlgebraGeometry

Jackson’s paintbrush makes a narrow strip with a width of 6.56.5 millimeters. Jackson has enough paint to make a strip 2525 meters long. How many square centimeters of paper could Jackson cover with paint?

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Solution

Converting units, the strip is 0.650.65 cm wide and 25002500 cm long, so its area is 0.65×2500=16250.65\times 2500=1625 square centimeters. Thus, the correct answer is C.

More practice

Concepts: unit conversion · area

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