the cost of carpeting a room 12 m wide with a carpet of width 85 cm at the rate Rs 120 is Rs 28800. find the length of the room.
Area = 12 x
carpet length = Cl = A/.85 = 12 x/.85
cost = Cl *120 = (12x/.85)120 = 28800
x = (2880/144).85 = 17 meters
12L * .85 * 120 = 28,800
Solve for L.
To find the length of the room, we can use the formula for the cost of carpeting:
Cost = (Width of the room * Length of the room * Cost per square meter)
Given:
Width of the room = 12 m
Width of the carpet = 85 cm = 0.85 m
Cost = Rs 28800
Cost per square meter = Rs 120
Let's solve for the length of the room:
First, convert the width of the carpet from centimeters to meters:
Width of the carpet = 0.85 m
Now, we can rearrange the formula to solve for the length of the room:
Length of the room = Cost / (Width of the room * Cost per square meter)
Substituting the given values into the formula:
Length of the room = 28800 / (12 * 0.85 * 120)
Calculating the length of the room:
Length of the room = 230 meters
Therefore, the length of the room is 230 meters.