The measure of the side of a wall of a square room if 12 m. Find the cost of covering the wall with a wall paper at the rate of rupees 40 per sq m.
(::please explain it::)
Answers
Answer
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 =252700=108m2
Breadth = (area of the floor) / Length =12108 = 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=252m2
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
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QUESTION ↘️
The measure of the side of a wall of a square room if 12 m. Find the cost of covering the wall with a wall paper at the rate of rupees 40 per sq m.
ANSWER ↘️
To find the cost of covering the wall, we need to find its area.
So,
Area of the square wall << (side) x (side)
Area of the square wall << (12) x (12)
Area of the square wall << 144 cm.^2
Now,
Cost of covering it with a wallpaper << 144 x 40
Cost of covering it with a wallpaper << Rs.5760
Answer << Rs.5760