Let length be x
Let breadth by y
Equation 1: The length of rectangle is twice its breadth.
x = 2y
Equation 2: The perimeter is 72 meters. P=2L + 2W
2(x) + 2y = 72
Substitute 2y for x:
2(2y) + 2y = 72
4y + 2y = 72
6y = 72
6y/6 = 72/6
y = 12
Solve for x by using Equation 1, x = 2y.
x = 2y
x = 2(12)
x = 24
The dimensions are:
Length: x= 24 meters
Breadth: y = 12 meters
To Check the Perimeter:
2(24) meters + 2(12) meters = 72 meters
48 meters + 24 meters = 72 meters
72 meters = 72 meters