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2023 AMC 10B 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

Put everything in centimeters first. The strip is 6.56.5 mm =0.65= 0.65 cm wide and 2525 m =2500= 2500 cm long. Its area is 0.65×2500=16250.65 \times 2500 = 1625 square centimeters. Therefore, the answer is C.

More practice

Concepts: unit conversion · rectangle · area

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