A homeowner wishes to put a fence around a space in her yard to create a dog pen. The space that she wants to fence in is shown below where each unit on the graph represents one foot.
How many feet of fencing will the homeowner need to build the dog
pen?
A. 52
B.54
C.38 + 10√2
D. 38+4√2
To find the length of fencing needed, we need to calculate the perimeter of the space.
The space is a rectangle, with dimensions of 6 feet by 8 feet.
To find the perimeter of a rectangle, you add up all four sides:
Perimeter = 2(Length) + 2(Width)
Perimeter = 2(6) + 2(8)
Perimeter = 12 + 16
Perimeter = 28 feet
Therefore, the homeowner will need 28 feet of fencing to build the dog pen.
The correct answer is not provided in the options. The closest option is C (38 + 10√2), but this is not the correct answer based on the calculations.