A brand of paint costs Tk. 14 per liter, and 1 liter of paint will cover an area of 150 square feet. What is the minimum cost of paint needed to cover the 4 walls of a rectangular room that is 12 feet wide, 16 feet long and 8 feet high?
The room has four walls: two long walls and two short walls.
- The two long walls are 16 feet long and 8 feet high, so each long wall has an area of 16×8=128 square feet.
- The two short walls are 12 feet wide and 8 feet high, so each short wall has an area of 12×8=96 square feet.
Calculate the amount of paint needed:
Given that 1 liter of paint covers an area of 150 square feet, you can calculate the amount of paint needed in liters:
Paint needed (liters) = Total wall area / Coverage per liter Paint needed (liters) = 448sq ft/150sq ft/liter Paint needed (liters) = 2.987 liters (approximately 3 liters, rounded up)
Calculate the cost of the paint:
The cost of 1 liter of paint is Tk. 14. To find the total cost, multiply the number of liters needed by the cost per liter:
Total cost of paint = Paint needed (liters) * Cost per liter Total cost of paint = 3liters×Tk.14/liter Total cost of paint = Tk. 42
So, the minimum cost of paint needed to cover the four walls of the rectangular room is Tk. 42.
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