2007 AMC 12B Problem 1
Attempt Problem 1 of the 2007 AMC 12B below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2007 AMC 12B solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
1.
Isabella’s house has bedrooms. Each bedroom is feet long, feet wide, and feet high. Isabella must paint the walls of all the bedrooms. Doorways and windows, which will not be painted, occupy square feet in each bedroom. How many square feet of walls must be painted?
Small hint:
The four walls of a room form a band of height wrapping around the floor
Big hint:
The painted area per room is (floor perimeter)(height)
Solution:
The perimeter of each bedroom floor is feet.
So the wall area in one bedroom is square feet. Across all three bedrooms, Isabella paints square feet.
Thus, the correct answer is E.
Problem 1 in other years
- 1950 AMC 12
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