Question

4. A wall is 12 m long and 4 m high.
There is a rectangular window
measuring 2.5 m by 2 m in the
wall. Find how much it will cost
to paint the wall at the rate of 22 per sq. m.​

Answer 1

Answer:

Dimensions of the room are :12m × 9m × 6m

Step-by-step explanation:

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 = 2500/25 = 108m sq

Breadth = (area of the floor) / Length = 108/12 = 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 sq

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

           I hope this answer will help you........