SOLUTION: Jacqueline is painting a room, and she needs to know how much paint to buy. The room is 12 ft long by 15 ft wide by 10 ft high. A 3 ft by 6 ft door is on one of the 12 ft long wall

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Question 768232: Jacqueline is painting a room, and she needs to know how much paint to buy. The room is 12 ft long by 15 ft wide by 10 ft high. A 3 ft by 6 ft door is on one of the 12 ft long walls, and a 5 ft by 3 ft window is on one of the 15 ft long walls. Each gallon of paint covers 350 ft2.
Jacqueline plans to paint one coat on the walls only. How much paint will she need to buy?

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Jacqueline is painting a room, and she needs to know how much paint to buy. The room is 12 ft long by 15 ft wide by 10 ft high. A 3 ft by 6 ft door is on one of the 12 ft long walls, and a 5 ft by 3 ft window is on one of the 15 ft long walls. Each gallon of paint covers 350 ft2.
Jacqueline plans to paint one coat on the walls only. How much paint will she need to buy?
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Total wall area = 2(12*10 + 15*10)-(3*6+3*5) = 2(270)-(33) = 507 sq.ft.
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# of gallons of paint needed = 507/350 = 1.45 gallons
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
There are 2 opposing walls with total area =
+12%2A10%2A2+=+240+ ft2
The other 2 opposing walls have total area =
+15%2A10%2A2+=+300+ ft2
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The total area of the 4 walls is:
+240+%2B+300+=+540+ ft2
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Subtract the areas of the door and the window
+3%2A6+=+18+ ft2
+5%2A3+=+15+ ft2
+18+%2B+15+=+23+ ft2
+540+-+23+=+517+ ft2
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Let +n+ = number of gallons of paint needed
+n+=+517+%2F+350+
+n+=+1.477+
She will need to buy 2 gallons of paint