To calculate the total linear footage for a fence around a property measuring 475 feet by 150 feet, what is the total?

To find the total linear footage for a fence surrounding a rectangular property, you must calculate the perimeter of the rectangle. The formula for the perimeter ( P ) of a rectangle is given by:

[ P = 2 \times (length + width) ]

In this case, the length of the property is 475 feet and the width is 150 feet. Plugging these values into the formula yields:

[ P = 2 \times (475 + 150) ]

[ P = 2 \times 625 ]

[ P = 1,250 \text{ feet} ]

Therefore, the total linear footage required to enclose the property with a fence is 1,250 feet. This value reflects the complete distance around the perimeter of the property, which is the reasoning behind this choice being correct in the context of calculating fence length.