Explanation:
Let's assume the width of the balcony as 'w' feet.
As given, the length of the balcony is twice the width. So, the length can be represented as 2w feet.
The perimeter of the balcony is given as 36 feet.
Perimeter of a rectangle = 2 (Length + Width)
Substituting the values we get,
2(2w + w) = 36
Simplifying the above expression we get,
6w = 36
Dividing both sides by 6, we get
w = 6
Now that we know the value of 'w', we can find the length of the balcony as follows:
Length = 2w = 2 x 6 = 12 feet.
Therefore, the length of the balcony is 12 feet.