2023 AMC 10B Problem 4

Question

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 everything to centimeters:

6.5

mm

= 0.65

cm and

25

m

= 2500

cm

Area is width

\times

length once both are in the same units

Put everything in centimeters first. The strip is

6.5

mm

= 0.65

cm wide and

25

m

= 2500

cm long. Its area is

0.65 \times 2500 = 1625

square centimeters. Therefore, the answer is C.

Problem 4 in other years