Question

六个长方形的共同底宽都是 $2$ ，长度分别为 $1, 4, 9, 16, 25$ 和 $36$ 。这六个长方形面积之和是多少？

Six rectangles each with a common base width of $2$ have lengths of $1, 4, 9, 16, 25,$ and $36.$ What is the sum of the areas of the six rectangles?

$91$

$93$

$162$

$182$

$202$

答案：D

知识点：矩形面积

难度评级：720

解答：

每个长方形面积是 $2$ 乘对应长度。可以先把共同因子 $2$ 提出来，只需求长度之和，即 $91.$

因此面积之和为 $2 \cdot 91 = 182$ 。

所以正确答案是 D。

To find the area of each rectangle we multiply $2$ by their respective lengths. This means that we can factor out the $2$ and we are left with the sum of the lengths. Adding together the lengths, we get $91.$

Therefore, the sum of the areas is $2 \cdot 91 = 182.$

Thus, D is the correct answer.

2014 AMC 8 第 6 题

答案：D

难度评级：720

解答：

其他年份的第 6 题