if a room is 5500 sq metres the romm lenth is 6 times the width what is the length of the room
6 w (w) = 5500
w^2 = 5500/6
get w
then L = 6 w
x * 6x = 5500
To find the length of the room, we need to set up an equation using the given information. Let's assume the width of the room is "x" meters.
According to the problem, the length of the room is 6 times the width. Therefore, the length can be represented as 6x.
Since we know that the area of the room is 5500 square meters, we can set up the equation:
Area of the room = Length × Width
5500 = 6x × x
Now, let's solve for "x":
5500 = 6x^2
Divide both sides by 6:
(5500/6) = x^2
916.67 = x^2
Take the square root of both sides to solve for "x":
√916.67 = √x^2
30.28 ≈ x
Since we are looking for the length, which is 6 times the width, the length would be:
Length = 6x ≈ 6 * 30.28 ≈ 181.68 meters
Therefore, the length of the room is approximately 181.68 meters.