A rectangular piece of property measures 50 feet by 150 feet. The owner decides to surround the property with a fence placed exactly tow feet inside of the property lines. How much fencing will be needed

perimeter = 2(50-4) + 2(150-4)

= ....

400

To calculate the amount of fencing needed, we need to determine the perimeter of the rectangular property.

Step 1: Calculate the dimensions of the inner rectangle
Since the owner wants to place the fence two feet inside the property lines, we need to subtract four feet (two feet on each side) from the length and the width of the property:
Length of inner rectangle = 150 - 4 = 146 feet
Width of inner rectangle = 50 - 4 = 46 feet

Step 2: Calculate the perimeter of the inner rectangle
Perimeter of inner rectangle = 2 × (Length of inner rectangle + Width of inner rectangle)
= 2 × (146 + 46)
= 2 × 192
= 384 feet

Therefore, 384 feet of fencing will be needed to surround the rectangular property with a fence placed exactly two feet inside the property lines.