Wall paper ,312cm long and 25cm wide is required to cover the wall of a room . length of the room is 7m and its breadth is twice its height. Determine the height of the room .
To determine the height of the room, we need to use the given information about the wallpaper and the room dimensions.
First, let's convert the dimensions of the wallpaper from centimeters to meters:
Length of wallpaper = 312 cm = 3.12 m
Width of wallpaper = 25 cm = 0.25 m
Now let's analyze the dimensions of the room:
Length of the room = 7 m
Breadth of the room = twice the height
Let's assume the height of the room is h meters.
Since the breadth of the room is twice the height, the breadth can be expressed as 2h.
To find the total area of the room that needs to be covered by the wallpaper, we can use the formula: Area = Length × Breadth.
Area of the room = Length × Breadth
Area of the room = 7 m × 2h
Area of the room = 14h m²
Since the area of the room is equal to the amount of wallpaper required, we can equate it to the area of the wallpaper:
14h m² = 3.12 m × 0.25 m
Now we can solve for the height of the room:
14h = 0.78
h = 0.78 / 14
h ≈ 0.0557 m
Therefore, the height of the room is approximately 0.0557 meters.