Question

A painter charges 5 per square metre to paint. Each of the four rectangular walls of Anu's room is 15 metres long and 12 metres high How much will it cost Anu to get her walls and ceiling painted if the celling is the same size as each of the walls?

Answer 1

Let h be the height.

Rate of covering the floor with mat = Rs 25 per square metre

Total cost for floor = RS 2700

Area of the floor = (total cost)/ (cost per meter)

Area of the floor =

25

2700

=108m

2

Breadth = (area of the floor) / Length =

12

108

= 9m

Length of a wall = 12 m

Rate of painting the four walls of a room = Rs 30 per square metre

Total cost = RS 7560

Again,

Area of walls = (total cost)/ (cost per meter) =7560/30=252m

2

Now,

Area of 4 walls = 2(Length of walls × Height of walls) + 2(Breadth of walls × Height of walls)

252=2(12×h)+2(9×h)

252=24h+18h

252=42h

h=6

⇒ Height is 6 m

Therefore dimensions of the room are :12m×9m×6m

Answer 2

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