Question

三个全等的矩形拼成了矩形 $ABCD$ ，如下图所示。已知每个小矩形较短边长为 $5$ 英尺，矩形 $ABCD$ 的面积是多少平方英尺？

Three identical rectangles are put together to form rectangle $ABCD,$ as shown in the figure below. Given that the length of the shorter side of each of the smaller rectangles is $5$ feet, what is the area in square feet of rectangle $ABCD?$

$45$

$75$

$100$

$125$

$150$

答案：E

知识点：矩形面积

难度评级：660

视频讲解：

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文字解答：

从图中可见，小矩形的长边等于两个短边，所以长边为 $2 \cdot 5 = 10$ 英尺。

大矩形的一边为 $BC = 10$ 英尺，另一边为 $DC = 10 + 5 = 15$ 英尺。面积为 $10 \cdot 15 = 150$ 平方英尺。

正确答案是 E。

From the figure, we can see that the longer side has the same length as two of the shorter sides. This makes it $2 \cdot 5 = 10$ feet long.

This tells us that $BC = 10$ feet and $DC = 10 + 5 = 15$ feet. Therefore, the area is $10 \cdot 15 = 150$ square feet.

Thus, the correct answer is E.

2019 AMC 8 第 2 题

答案：E

难度评级：660

视频讲解：

文字解答：

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