2023 AMC 12B Problem 4

Below is the professionally curated solution for Problem 4 of the 2023 AMC 12B, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2023 AMC 12B solutions, or check the answer key.

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Concepts:unit conversionarea

Difficulty rating: 1200

4.

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?

162,500162{,}500

162.5162.5

1,6251{,}625

1,625,0001{,}625{,}000

16,25016{,}250

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.

Problem 4 in Other Years