Question 324155: All of the rooms in a building are rectangular, with nine-foot ceilings. One room is 10 feet wide by 14 feet long. What is the combined area of the four walls, including doors and windows?
Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322)   (Show Source):
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website! All of the rooms in a building are rectangular, with nine-foot ceilings. One room is 10 feet wide by 14 feet long. What is the combined area of the four walls, including doors and windows?
The room has opposite walls that have congruent areas
One wall's area is the room's length x its height, or L x H, so these 2 opposite sides will be 2(L * H) = 2(14 * 9), or areas totaling 252 sq feet
The other wall's area is the room's width x its height, or W x H, so these 2 opposite sides will be 2(W * H) = 2(10 * 9), or areas totaling 180 sq feet
Adding the four walls' areas, we get: 252 + 180, or  square feet.
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