Alexander is installing a pen for his dog. The pen will have the shape and dimensions of the figure shown to the right. How many feet feet of fencing are needed to enclose the area shown?
To determine how many feet of fencing are needed to enclose the area shown, we first need to calculate the perimeter of the figure.
To do this, we need to find the sum of the lengths of all the sides of the figure.
From the figure shown, we can determine that:
- The left and right sides are parallel and each has a length of 8 feet.
- The top and bottom sides are parallel and each has a length of 15 feet.
- The diagonal side is not necessary to calculate the perimeter.
Therefore, we have two sides measuring 8 feet each and two sides measuring 15 feet each.
To find the perimeter, we add up the lengths of all the sides:
Perimeter = 8 ft + 8 ft + 15 ft + 15 ft
Perimeter = 46 feet
Therefore, Alexander will need 46 feet of fencing to enclose the area shown.