2023 AMC 12B Problem 4

Attempt Problem 4 of the 2023 AMC 12B below, then check your answer against the professionally curated solution 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.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

Jackson’s paintbrush makes a narrow strip with a width of

6.5

millimeters. Jackson has enough paint to make a strip

25

meters long. How many square centimeters of paper could Jackson cover with paint?

162{,}500

162.5

1{,}625

1{,}625{,}000

16{,}250

Convert every length to centimeters before multiplying

The width is

6.5\text{ mm}=0.65\text{ cm}

and the length is

25\text{ m}=2500\text{ cm}

Converting units, the strip is

0.65

cm wide and

2500

cm long, so its area is

0.65\times 2500=1625

square centimeters.

Thus, the correct answer is C.

Problem 4 in other years