A room 9m long, 6m broad and 3.6 m high has one door 1.4m by 2m and two windows, each 1.6m by 75cm find: the cost of white-washing the walls from inside at the rate of 22.50 per m²

The cost of white-washing the walls from inside at the rate of 22.50 per m² is 1098

Step-by-step explanation:

Step 1: Finding the area of the room

Area of the room = Length X breadth

Length = 9m long

Breadth = 6m broad

Area of the room = 9 x 6 = 54 square metres

Step 2: Finding the area of the door

Area of the door = Length x breadth

Breadth = 1.4m

Length = 2m

Area of the door = 1.4 x 2 = 2.8 square metres

Step 3: Finding the area of the Window

Area of the window = Length x breadth

Length = 1.6 m

Breadth = 75 cm

Converting cm to m

we have

75 cm = 0.75 m

Area of the 1 window = 1.6 x 0.75 = 1.2 square metres

Step 4: Finding the area to be painted

Area to be painted = Total area of the room - area of the door - 2 (area of the window)

Area to be painted = 54 - 2.8 - 2 (1.2)

Area to be painted = 54 - 2.8 - 2.4

Area to be painted = 48.8 square metres

Step 5: Finding the cost for painting

For painting one square metre = $22.50

For painting 48.8 square metres = 22.50 x 48.8 = 1098