Question

四个相同的正方形和一个长方形拼在一起，形成如图所示的一个大正方形。这个长方形的长是宽的多少倍？

Four identical squares and one rectangle are placed together to form one large square as shown. The length of the rectangle is how many times as large as its width?

$\dfrac{5}{4}$

$\dfrac{4}{3}$

$\dfrac{3}{2}$

$2$

$3$

答案：B

知识点：比与比例正方形（几何）矩形

难度评级：870

解答：

不妨设每个小正方形的边长为 $1$ 。

这样长方形的长为 $4$ ，宽为 $4 - 1 = 3$ 。

所求长宽比为 $\dfrac{4}{3}$ 。

所以正确答案是 B。

WLOG, let the side lengths of the squares be $1.$

This means that the length of the rectangle is $4.$ We also have that the width must be $4 - 1 = 3.$

The desired ratio is then $\dfrac{4}{3}.$

Thus, B is the correct answer.

2010 AMC 10A 第 2 题

答案：B

难度评级：870

解答：

其他年份的第 2 题