Question

图中阴影正方形的面积与非阴影正方形的面积之比是多少？

In the figure, what is the ratio of the area of the shaded squares to the area of the unshaded squares?

$\ 3:10$

$\ 3:8$

$\ 3:7$

$\ 3:5$

$\ 1:1$

把中央阴影正方形细分后，图中共有 $16$ 个相等的小正方形。

其中 $6$ 个是阴影， $10$ 个不是阴影，所以所求比值为 $6:10=3:5$ 。

所以正确答案是 D。

After subdividing the central shaded square, the figure has $16$ equal small squares.

Of these, $6$ are shaded and $10$ are unshaded, so the desired ratio is $6:10=3:5$ .

Thus, D is the correct answer.