Explanation:
Let's denote the width of the rectangle as "w" meters.
According to the given information, the length of the rectangle is 6 meters more than twice the width. Therefore, the length can be expressed as 2w + 6 meters.
The formula for the perimeter of a rectangle is P = 2(l + w), where P represents the perimeter, l represents the length, and w represents the width.
We are given that the perimeter is 72 meters, so we can write the equation as:
72 = 2((2w + 6) + w)
Simplifying the equation:
72 = 2(3w + 6)
72 = 6w + 12
6w = 72 - 12
6w = 60
w = 60 / 6
w = 10
Therefore, the width of the rectangle is 10 meters.
To find the length, we can substitute the value of w into the expression for the length:
l = 2w + 6
l = 2(10) + 6
l = 20 + 6
l = 26
Hence, the length of the rectangle is 26 meters.