A leach free area for dogs is to be created in a field behind a recreation centre. what length of fencing will be required, if the plans show an irregular pentagonal area with vertices at (2,0), (1,6), (8,9), (10,7)and (6,0)?( one unit represents 10m)

I would make a sketch to make sure the points are listed in sequence.

The simply use your "distance between 2 points" formula to find the length of each of the 5 sides, then add them up