The area of the 4 walls of a room is 168metre square the breadth and height of the room are 10m and 4m respectively. Find the length of the room
2LH+2WH = 168
2*L*4 + 2*10*4 = 168
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To find the length of the room, we need to first determine the area of the four walls.
The given information states that the area of the four walls of the room is 168 square meters. Since it is a room, we can assume that opposite walls have the same dimensions.
Let's denote the length of the room as "L".
The area of the four walls is equal to the sum of the areas of the individual walls, which can be calculated by multiplying the height of the walls by the sum of the lengths of the adjacent walls.
Given:
Breadth of the room (B) = 10 meters
Height of the room (H) = 4 meters
Area of the four walls = 168 square meters
We can use the formula to calculate the area of the four walls:
Area of the four walls = 2(L + B)H
Substituting the given values:
168 = 2(L + 10)4
Now we can solve for L:
First, simplify the equation:
168 = (L + 10)8
Divide both sides of the equation by 8:
21 = L + 10
Subtract 10 from both sides of the equation:
L = 21 - 10
L = 11
Therefore, the length of the room is 11 meters.