2007 AMC 10B 第 1 题

Question

Isabella 的房子有

3

间卧室。每间卧室长

12

英尺，宽

10

英尺，高

8

英尺。Isabella 必须粉刷所有卧室的墙。每间卧室中不需要粉刷的门洞和窗户占

60

平方英尺。需要粉刷多少平方英尺的墙？

Isabella’s house has

3

bedrooms. Each bedroom is

12

feet long,

10

feet wide, and

8

feet high. Isabella must paint the walls of all the bedrooms. Doorways and windows, which will not be painted, occupy

60

square feet in each bedroom. How many square feet of walls must be painted?

678

768

786

867

876

每间卧室有四面墙；用周长和高度求总墙面面积。

Each bedroom has four walls; find the total wall area from the perimeter and the height

用房间周长乘以高度，再减去

60

。

Multiply the room’s perimeter by its height, then subtract

60

一间卧室的墙面面积为

2(12+10)\cdot 8 = 44\cdot 8 = 352

平方英尺。减去门洞和窗户的

60

平方英尺，每间卧室需粉刷

352-60=292

平方英尺。

有

3

间卧室，所以共需粉刷

3\cdot 292 = 876

平方英尺。

所以正确答案是 E。

The walls of one bedroom have area

2(12+10)\cdot 8 = 44\cdot 8 = 352

square feet. Subtracting the

60

square feet of doorways and windows leaves

352-60=292

square feet per bedroom.

With

3

bedrooms, the total is

3\cdot 292 = 876

square feet.

Thus, the correct answer is E.

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