How much carpet should you buy in this problem?

Question

ou want to remodel a room, which measures 18 feet by 13.5 feet, and has 9.5 foot high ceilings. You are going to paint all the walls and the ceiling, carpet the room, and apply baseboards along the bottom edge of all the walls. Paint cost $29.50 a gallon, and a gallon will cover 300 square feet. Carpet cost $35 a square yard, and you need 15% extra due to cutting/waste in the installation. Baseboards are sold in 12 foot sticks, and each one costs $30. You will have 10% extra baseboards for cutting/waste. Write up each calculation as neatly as possible, using a unit name on every number possible. Calculate how much of each to buy. Calculate how much each item costs. Total cost of the project. How much carpet should you buy?

Answer 1

Did all the calculations ...

 

CARPET: Area = length * width

18 ft * 13.5 ft = 243 ft sq.

243 ft sq. * 15% (waste) = 279.45 ft sq.

round up 279.45 = 280 ft sq.

 

3 ft * 3 ft = 1 yd sq.

9 ft sq. = 1 yd sq.

 

280 ft sq. / 9 ft sq. = 31.1 yd sq.

round up 31.1 to next whole number = 32 yd sq.

 

32 yd sq. * $35.00 per square yard = $1,120.00 for Carpet

 

CEILING PAINT:

Area = length * width

18 ft * 13.5 ft = 243 ft sq.

1 gallon of paint covers 300 ft sq.

1 gallon * $29.50 per gallon = $29.50 for Ceiling Paint

 

WALL PAINT:

13.5 ft sq. * 9.5 ft sq. * 2 = 256.5 ft sq.

18 ft sq. * 9.5 ft sq. * 2 = 342.ft sq.

256.5 ft sq. + 342 ft sq. = 598.50 ft sq.

1 gallon of paint covers 300 ft sq.

598.5 ft sq. / 300 ft sq. paint coverage per gallon = 1.995

round up 1.995 gallons = 2 gallons

$29.50 * 2 gallons = $59.00 for Wall Paint

 

BASEBOARDS:

18 ft * 2 = 36 ft

13.5 * 2 = 27 ft

36 ft + 27 ft = 63 ft

63 ft * 10% (waste) = 69.3 ft

69.3 ft / 12 ft boards = 5.775

round up 5.775 to next whole number = 6.0 boards

6 boards * $30 each = $180.00 for Baseboards

 

SUMMARY:

Carpet - 32 yd sq - $1,120.00

Ceiling Paint - 1 gallon - $29.50

Wall Paint - 2 gallons - $59.00

Baseboards - 6 boards - $180.00

TOTAL:  $1,388.50

 

 

Answer 2

First determine the area of the room.

Area = length x width = 18 ft x 13.5 ft

area = 243 square feet.

 

The question states that you need an extra 15% to account for cutt and waste.

Extra = 0.15 x 243 = 36.45 square feet.

 

total carpet will be the area plus the extra

243 + 36.45 = 279.45 square feet.