2015 AMC 8 第 1 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。

1.

要铺满一个长 1212 英尺、宽 99 英尺的长方形地板,需要多少平方码地毯?(一码等于三英尺。)

How many square yards of carpet are required to cover a rectangular floor that is 1212 feet long and 99 feet wide? (There are 3 feet in a yard.)

1212

3636

108108

324324

972972

答案:A
知识点:单位换算面积
难度评级:370
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文字解答:

一边长 1212 英尺,即 123=4\dfrac{12}{3} = 4 码。

另一边长 99 英尺,即 93=3\dfrac{9}{3} = 3 码。

因为尺寸是 4 yards×3 yards4 \text{ yards} \times 3 \text{ yards},所以面积为 平方码。 43=12.4\cdot3 = 12.

所以正确答案是 A

Since one side is 1212 feet, it would be 123=4\dfrac{12}{3} = 4 yards.

Since another side is 99 feet, it would be 93=3\dfrac{9}{3} = 3 yards.

Since the dimensions are 4 yards×3 yards,4 \text{ yards} \times 3 \text{ yards}, the area is equal to 43=12.4\cdot3 = 12.

Thus, the correct answer is A .

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