Question

平行四边形 $ABCD$ 围成区域的面积是多少平方单位？

The area in square units of the region enclosed by parallelogram $ABCD$ is

$6$

$8$

$12$

$15$

$18$

取 $\overline{BC}$ 为底；它是从 $B(0,2)$ 到 $C(4,2)$ 的水平线段

Take $\overline{BC}$ as the base; it is horizontal from $B(0,2)$ to $C(4,2)$

面积等于底乘高，其中高是两条水平边之间的竖直距离

The area is base times height, where the height is the vertical distance between the two horizontal sides

边 $BC$ 从 $(0,2)$ 到 $(4,2)$ ，所以底长为 $4$ 。相对边 $AD$ 在 $x$ 轴上，所以高为 $2$ 。

面积是 $4 \times 2 = 8$ 。

所以正确答案是 B。

Side $BC$ runs from $(0,2)$ to $(4,2),$ so the base is $4.$ The opposite side $AD$ lies on the $x$ -axis, so the height is $2.$

The area is $4 \times 2 = 8.$

Thus, the correct answer is B .