Question

如图，在平行四边形 $ABCD$ 中，阴影区域 $BEDC$ 的面积是多少？

In parallelogram $ABCD$ shown, what is the area of the shaded region $BEDC?$

$24$

$48$

$60$

$64$

$80$

答案：D

知识点：平行四边形面积分割

难度评级：860

解答：

平行四边形的底为 $10$ ，高为 $8$ ，所以面积是 $10 \times 8 = 80$ 。

未涂色三角形 $ABE$ 的底为 $AE = AD - ED = 10 - 6 = 4$ ，高为 $8$ ，所以面积是 $\frac{1}{2} \times 4 \times 8 = 16$ 。阴影面积是 $80 - 16 = 64$ 。

所以正确答案是 D。

The parallelogram has base $10$ and height $8,$ so its area is $10 \times 8 = 80.$

The unshaded triangle $ABE$ has base $AE = AD - ED = 10 - 6 = 4$ and height $8,$ so its area is $\frac{1}{2} \times 4 \times 8 = 16.$ The shaded area is $80 - 16 = 64.$

Thus, the correct answer is D .

1989 AMC 8 第 15 题

答案：D

难度评级：860

解答：

其他年份的第 15 题