2013 AMC 12B 第 2 题

先试着解答 2013 AMC 12B 第 2 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2013 AMC 12B 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

2.

Green 先生通过沿着长方形花园的两条边走路来测量花园,发现它是 1515 步乘 2020 步。他每一步长 22 英尺。Green 先生预计花园每平方英尺能产半磅土豆。他预计花园能产多少磅土豆?
Mr. Green measures his rectangular garden by walking two of the sides and finds that it is 1515 steps by 2020 steps. Each of Mr. Green’s steps is 22 feet long. Mr. Green expects a half a pound of potatoes per square foot from his garden. How many pounds of potatoes does Mr. Green expect from his garden?
600600
800800
10001000
12001200
14001400
答案:A
知识点:单位换算面积速率
小提示:
先把步数换算成英尺:每步 22 英尺。
Convert steps to feet first: each step is 22 feet
大提示:
将平方英尺面积乘以每平方英尺 12\dfrac12 磅。
Multiply the area in square feet by 12\dfrac12 pound per square foot
解答:
花园的长和宽分别为 2⋅15=302\cdot 15 = 30 英尺和 2⋅20=402\cdot 20 = 40 英尺,面积为 12001200 平方英尺。每平方英尺能产半磅土豆,所以预计产量为 12⋅1200=600\tfrac12\cdot 1200 = 600 磅。正确答案是 A。
The garden is 2⋅15=302\cdot 15 = 30 feet by 2⋅20=402\cdot 20 = 40 feet, an area of 12001200 square feet. At half a pound per square foot, Mr. Green expects 12⋅1200=600\tfrac12\cdot 1200 = 600 pounds. Thus, the correct answer is A.
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