2023 AMC 10B 第 4 题

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所有题目均经美国数学协会(MAA)官方合法授权使用。

4.

Jackson 的画笔能刷出宽 6.56.5 毫米的窄条。Jackson 的油漆足够刷出 2525 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 6.56.5 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

答案:C
知识点:单位换算矩形面积
难度评级:1200
解答:

先换算成厘米。宽度为 6.56.5 毫米 =0.65= 0.65 厘米,长度为 2525=2500= 2500 厘米。面积为 0.65×2500=16250.65 \times 2500 = 1625 平方厘米。所以正确答案是 C

Put everything in centimeters first. The strip is 6.56.5 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.

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