Question

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?

$678$

$768$

$786$

$867$

$876$

Answer: E

Concepts:surface area perimeter

Difficulty rating: 720

Solution:

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.

2007 AMC 10B Problem 1

Answer: E

Difficulty rating: 720

Solution:

Problem 1 in Other Years