A rectanfular piece of property measures 50 feet by 150 feet. the owner decides to surround the property with a fence placed exactly two feet inside of the property lines. How much fencing will be needed ?
a.364ft
b.384 ft
c. 400 ft
d 404 ft
Since the new fence is 2' inside the lines on both sides, we need to subtract 4 feet from each dimension.
P = 2(L+W)
2((50-4)+(150-4)) = 384
P = 2L + 2W
P = (2 * 46) + (2 * 146)
P = ?
To calculate the amount of fencing needed, we need to find the perimeter of the outer boundary of the property.
First, let's calculate the dimensions of the property with the fence placed two feet inside. This means that we subtract four feet (two feet on each side) from both the length and width of the property:
Length = 50 ft - 4 ft = 46 ft
Width = 150 ft - 4 ft = 146 ft
Now we can calculate the perimeter of the property:
Perimeter = 2 * (Length + Width)
Perimeter = 2 * (46 ft + 146 ft)
Perimeter = 2 * 192 ft
Perimeter = 384 ft
Therefore, the correct answer is b. 384 ft.