the length of a rectangle hallway is 3 times its breadth if the perimeter of the hallway is 48 m find its length and breadth
2(b+3b)=48
b = 6
length=3b=18
Let's assume that the breadth of the rectangle hallway is "b" meters.
According to the given information, the length of the hallway is 3 times its breadth, so the length would be 3b meters.
The formula to calculate the perimeter of a rectangle is:
Perimeter = 2 × (Length + Breadth)
In this case, the perimeter is given as 48 meters. So we can set up the equation as follows:
48 = 2 × (3b + b)
Simplifying the equation:
48 = 2 × 4b
48 = 8b
Now, divide both sides of the equation by 8:
b = 6
Therefore, the breadth of the rectangle hallway is 6 meters.
To find the length, substitute the value of b into the expression for the length of the hallway:
Length = 3b = 3 × 6 = 18
Therefore, the length of the rectangle hallway is 18 meters and the breadth is 6 meters.
To find the length and breadth of the rectangle hallway, we need to set up a system of equations using the given information.
Let's assume the breadth of the hallway is represented by the variable 'b'.
According to the given information, the length is 3 times the breadth, so we can represent the length as '3b'.
The formula for calculating the perimeter of a rectangle is:
Perimeter = 2(Length + Breadth)
In this case, the perimeter of the hallway is given as 48 meters. So we can write the equation as:
48 = 2(3b + b)
Simplifying the equation, we get:
48 = 2(4b)
Divide both sides of the equation by 2 to isolate the expression:
24 = 4b
Now, divide both sides of the equation by 4 to solve for 'b':
b = 6
So, the breadth of the rectangle hallway is 6 meters.
To find the length, substitute the value of 'b' back into the expression for the length:
Length = 3b = 3 * 6 = 18
Therefore, the length of the rectangle hallway is 18 meters and the breadth is 6 meters.