Question

Sarah hired a painter to paint her bedroom walls and ceiling. Each of the four bedroom walls is 18 ft. Long and 8 ft. High. Two walls each have one door, and both doors measure 3 ft. By 7 ft. One wall has a window that is 3 ft. By 5 ft. The doors and window do not have to be painted. A gallon of paint can cover 300 ft.2. A hired painter claims that he will need three gallons to paint the one room. Is the estimate correct?

Answer 1

The estimate is not correct?

Explanation:

Given data

Area of wall = 18*8

=144ft^2

=4*144

=576ft^2

Area of doors

=3*7

=21ft^2

=2*21

=42ft^2

Area of window

=3*5

=15ft^2

Hence the total surface area of the room

=576-42-15

=519ft^2

The amount of paint needed= 519/300= 1.73

Approximately 2 gallons

We are told that 1 gallon will cover 300ft^2

Hence 3 gallons will cover 300*3= 900ft^2

Therefore the painter overestimated the amount of paint needed

As 2 gallons will do the job