Consider parallelogram abcd with vertices at a(−10,6), b(−5.5,26), c(9.5,18), and d(5,−2). what is the perimeter, in units, of parallelogram abcd?

Given vertices of parallelogram ABCD:

A(−10,6), B(−5.5,26), C(9.5,18), and D(5,−2).

Length of AB is :

.

Length of BC is :

Note, opposite sides of a parallelogram are equal.

Therefore,

Perimeter of parallelogram ABCD = 2 × Length of AB + 2 × Length of BC.

Perimeter = 2 × 20.5 + 2 × 17

                 = 41 + 34

                 = 75 units.

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