Question

阴影正方形的面积与大正方形面积之比是多少？（图按比例绘制。）

What is the ratio of the area of the shaded square to the area of the large square? (The figure is drawn to scale)

$\dfrac{1}{6}$

$\dfrac{1}{7}$

$\dfrac{1}{8}$

$\dfrac{1}{12}$

$\dfrac{1}{16}$

可以把图延伸成如下网格：

然后看底部的三角形，它占整个图形的四分之一。

该面积的一半就是阴影面积，所以整个阴影面积是 $\dfrac 18$ 。

所以正确答案是 C。

We could extend the figure to the following:

Then, we could look at the bottom triangle that makes up a quarter of the figure.

Half of that area is the shaded area, so the entire shaded area is $\dfrac 18.$

Thus, the correct answer is C .