2013 AMC 10B 第 2 题

先试着解答 2013 AMC 10B 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 10B 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 先生通过走过矩形花园的两条边来测量花园,发现它是 1515 步乘 2020 步。Green 先生每一步长 22 英尺。他预计花园每平方英尺能收获半磅土豆。Green 先生预计能收获多少磅土豆?
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:
先把花园两边从步数换成英尺。
Convert each garden side from steps to feet
大提示:
面积再乘以每平方英尺半磅。
Multiply area by half a pound per square foot
解答:
花园尺寸为 2⋅15=302\cdot 15 = 30 英尺和 2⋅20=402\cdot 20=40 英尺,面积为 30⋅40=120030\cdot 40 = 1200 平方英尺。
因此,预计收获 1200⋅12=6001200\cdot \dfrac 12 =600 磅土豆。
所以正确答案是 A。
The dimensions of the garden are 2⋅15=30 2\cdot 15 = 30 feet by 2⋅20=402\cdot 20=40 feet. Thus, the square footage is 30⋅40=1200.30\cdot 40 = 1200.
Therefore, there are 1200⋅12=6001200\cdot \dfrac 12 =600 pounds of potatoes.
Thus, the correct answer is A .
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