Final answer:
The amount of fence needed for a rectangular field is calculated by finding the perimeter using the formula P = 2l + 2w, where l is the length and w is the width. If the dimensions of one field are known, the farmer can easily determine the amount of fencing needed by applying this formula.
Step-by-step explanation:
The amount of fence a farmer needs for each rectangular field can be determined by calculating the perimeter. The perimeter is the total distance around the outside of a geometric shape, such as a rectangle. The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
To apply this to a real-world scenario, let's say one field has a length of 100 meters and a width of 50 meters. The amount of fencing this field would need is:
- P = 2(100) + 2(50)
- P = 200 + 100
- P = 300 meters of fencing
If there is a second field with different dimensions, the farmer would simply need to know the length and width of that field, use the same formula, and calculate the amount of fencing needed separately.