Find the cost of papering a room 8 m long, 6 m wide and 4 m high with paper 80 cm wide at the rate of
* 120 per piece of 5 m.
Answers
Answer:
Cost of papering = Rs.3,360
Step-by-step explanation:
Width of one paper sheet = 80 cm = 0.8 m
Length of one paper sheet = 5 m
Area of one sheet of paper = 0.8 x 5 m²
= 4 m²
Cost of one sheet of paper = Rs.120
Cost per m² of paper = 120/4 = Rs.30
=> Per unit cost of paper = Rs.30 per m²
Let "L" and "B" be the length and breadth of the rectangular room. Let "H" be the height of the walls.
The area to be papered = LH + BH + LH + BH
= 2LH + 2BH
= (2L + 2B)*H
This is the same as Perimeter x Height
The perimeter of the given room = 2(8 + 6) = 2*14 = 28 m
Height of room = 4 m
Area to be papered = 28*4 = 112 m²
Rate of papering = Rs.30 per m²
Total cost of papering = 112 * 30
= 3360
Total cost of papering = Rs.3,360