First graph each point and draw the quadrilateral.

Graph:

Then determine the slope of each side.

Slope of

                             (Substitute )

                                   (Simplify)

Slope of

                            (Substitute )

                                        (Divide: )

Slope of

                        (Substitute  )

                                 (Simplify)

Slope of

                         (Substitute )

                                       (Divide: )

Opposite sides have the same slope,so they are parallel.

The slopes of the consecutive sides are negative.

Hence TVXY is a rectangle.

Distance between is

   (Distance formula)

  (Substitute )

                          (Simplify)

                               (Add: )

so,

Distance between is

     (Distance formula)

   (Substitute )

                        (Simplify)

                                (Add: )

so, Perimeter:

The Perimeter of a prectangle is the sum of the measures of its sides.

                                    (Add)

Height:

Here parallelogram is a rectangle.So,side will be the height.

Height .

Area:

                                      (Area of parallelogram)

                           (Substitute and )

                                 (Multiply: )

The Perimeter of the rectangle is and area .