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 first need to find the area of the wall that needs to be covered with wallpaper.
The length of the wall is given as 7m, and the width of the wall is twice the height of the room. Let's assume the height of the room is h meters.
So, the width of the wall = 2h meters.
The area of the wall can be calculated by multiplying the length and width:
Area of the wall = Length of the wall × Width of the wall
Plugging in the given values:
Area of the wall = 7m × 2h
Area of the wall = 14h square meters
Now, to determine how much wallpaper is required, we need to convert the area of the wall into square centimeters. Since 1 meter = 100 centimeters, we have:
Area of the wall in square centimeters = 14h × 100 × 100 square centimeters
Now, we know that 312 cm of wallpaper is required to cover this area. So we can set up the following equation:
14h × 100 × 100 = 312
Now, we can solve this equation to find the value of h, which represents the height of the room.