Determine the length of fencing around an 80 m by 170 m rectangular playing field if the fence is to be 25 m outside the edge of playing field

80 + 50 = 130

170 + 50 = 220

P = 2L + 2W

To determine the length of fencing required, we need to calculate the perimeter of the rectangular playing field, considering that the fence will be 25 meters outside the edge of the field.

Step 1: Calculate the perimeter of the playing field:
The perimeter of a rectangle can be found by adding the lengths of all four sides.
Perimeter = 2 × (Length + Width)

Given:
Length of the playing field = 80 meters
Width of the playing field = 170 meters

Perimeter = 2 × (80 + 170)
Perimeter = 2 × 250
Perimeter = 500 meters

Step 2: Add the additional 25 meters for each side of the fence:
Since the fence will be placed 25 meters outside the edge of the field on all sides, we need to add 25 meters to each side of the perimeter.

Perimeter of the fence = Perimeter of the playing field + 4 × (25 meters)

Perimeter of the fence = 500 + 4 × 25
Perimeter of the fence = 500 + 100
Perimeter of the fence = 600 meters

Therefore, the length of fencing required to enclose the rectangular playing field with a 25-meter gap between the field and the fence is 600 meters.