Find the perimeter of the parallelogram with these vertices(1,4), (-6,4), (5,-5),(-2,-5) Give an exact answer (not a decimal approximation). Simplify your answer as much as possible.
perimeter = twice the distance between (1, 4) and (-6, 4) + twice the distance between (1, 4) and (5, -5)
perimeter = 2⋅√(4−4)2+(−6−1)2 + 2⋅√(−5−4)2+(5−1)2
perimeter = 2⋅√49 + 2⋅√97
perimeter = 2⋅7 + 2⋅√97
perimeter = 14 + 2√97