Answer:
The correct length is 34 feet.
Step-by-step explanation:
Let us assume that the wall created is a rectangle ABCD as shown in the attached image.
We know that opposite sides of a rectangle are equal.
Perimeter of a closed figure is calculated by adding all the sides of the figure.
Here, from the figure, the perimeter is : AB + BC + CD + DA
AB and CD are equal to length.
BC and DA are equal to width.
So,
[tex]Perimeter = 2 \times (length + width) ....... (1)[/tex]
Here, we are given that perimeter is 100 feet and width = 16 feet
Putting values in equation (1):
[tex]100 = 2 \times (16 + length)\\\Rightarrow 50 = 16 + length \\\Rightarrow length = 34 feet[/tex]
Hence, length is 34 feet.
