2007 AMC 12B Problem 1

Problem 1 of 25EasierGeometry

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?

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Solution

The perimeter of each bedroom floor is

2(12+10)=44

feet. So the wall area in one bedroom is

44\cdot8-60=352-60=292

square feet. Across all three bedrooms, Isabella paints

3\cdot292=876

square feet. Thus, the correct answer is E.