Final answer:
The perimeter of a rectangular fence around a vegetable garden, with a length of 10 meters and a width of 6 meters, is calculated as 32 meters using the formula P = 2(l + w).
Step-by-step explanation:
To calculate the perimeter of a rectangular fence around a vegetable garden with a length of 10 meters and a width of 6 meters, we use the perimeter formula for a rectangle: P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
Substituting the given measurements into the formula, we get P = 2(10 m + 6 m) = 2(16 m) = 32 meters.
The perimeter of the fence surrounding the garden is therefore 32 meters, which represents the total distance around the garden that the fence covers.