2023 AMC 10B 第 4 题

Question

Jackson 的画笔能刷出宽

6.5

毫米的窄条。Jackson 的油漆足够刷出

25

米长的一条。Jackson 能用油漆覆盖多少平方厘米的纸？

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

都换算成厘米：

6.5

毫米

= 0.65

厘米，

25

米

= 2500

厘米。

Convert everything to centimeters:

6.5

mm

= 0.65

cm and

25

m

= 2500

cm

单位统一后，面积为宽

\times

长。

Area is width

\times

length once both are in the same units

先换算成厘米。宽度为

6.5

毫米

= 0.65

厘米，长度为

25

米

= 2500

厘米。面积为

0.65 \times 2500 = 1625

平方厘米。所以正确答案是 C。

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.

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