AMC8 2011

AMC8 2011 · Q2

AMC8 2011 · Q2. It mainly tests Area & perimeter.

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 的矩形菜园是 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？

(A) Karl's garden is larger by 100 square feet. 卡尔的菜园大100平方英尺。

(B) Karl's garden is larger by 25 square feet. 卡尔的菜园大25平方英尺。

(D) Makenna's garden is larger by 25 square feet. 梅肯纳的菜园大25平方英尺。

(E) Makenna's garden is larger by 100 square feet. 梅肯纳的菜园大100平方英尺。

Answer

Correct choice: (E)

正确答案：（E）

Solution

The area of a rectangle is given by the formula length times width. Karl's garden is $20 \times 45 = 900$ square feet and Makenna's garden is $25 \times 40 = 1000$ square feet. Since $1000 > 900,$ Makenna's garden is larger by $1000-900=100$ square feet. $\Rightarrow \boxed{ \textbf{(E)}\ \text{Makenna's garden is larger by 100 square feet.} }$

矩形面积公式是长乘宽。Karl 的菜园面积 $20 \times 45 = 900$ 平方英尺，Makenna 的菜园面积 $25 \times 40 = 1000$ 平方英尺。因为 $1000 > 900$，Makenna 的菜园更大，面积多 $1000-900=100$ 平方英尺。$\Rightarrow \boxed{ \textbf{(E)}\ \text{Makenna's garden is larger by 100 square feet.} }$

Topics

GE.007 Area & perimeter