Question

Karl 的长方形菜园是 $20$ 英尺乘 $45$ 英尺，Makenna 的菜园是 $25$ 英尺乘 $40$ 英尺。谁的菜园面积更大？

Karl's rectangular vegetable garden is $20$ feet by $45$ feet, and Makenna's is $25$ feet by $40$ feet. Whose garden is larger in area?

Karl 的菜园大 $100$ 平方英尺。

Karl’s garden is larger by $100$ square feet.

Karl 的菜园大 $25$ 平方英尺。

Karl’s garden is larger by $25$ square feet.

两个菜园一样大。

The gardens are the same size.

Makenna 的菜园大 $25$ 平方英尺。

Makenna’s garden is larger by $25$ square feet.

Makenna 的菜园大 $100$ 平方英尺。

Makenna’s garden is larger by $100$ square feet.

答案：E

知识点：面积矩形

难度评级：450

解答：

Karl 菜园的面积为 Makenna 菜园的面积为 $20 \text{ft} \cdot 45 \text{ft} = 900 \text{ft}^2.$ $25 \text{ft} \cdot 40 \text{ft} = 1000 \text{ft}^2.$

两者面积差为因此 Makenna 的菜园比 Karl 的大 $100 \text{ft}^2$ 。 $1000 \text{ft}^2 - 900 \text{ft}^2 = 100 \text{ft}^2.$

所以正确答案是 E。

The area of Karl's garden is $20 \text{ft} \cdot 45 \text{ft} = 900 \text{ft}^2.$ The area of Makenna's garden is $25 \text{ft} \cdot 40 \text{ft} = 1000 \text{ft}^2.$

The difference of these areas is $1000 \text{ft}^2 - 900 \text{ft}^2 = 100 \text{ft}^2.$ Therefore, Makenna's garden is $100 \text{ft}^2$ larger than Karl's.

Thus, E is the correct answer.

2011 AMC 8 第 2 题

答案：E

难度评级：450

解答：

其他年份的第 2 题