Question

If given only the coordinates of the vertices, describe a process you could use to find the perimeter and area of a parallelogram.

I already figured out the answer; I just want to see if it makes sense. The answer will be posted below.

Answer 1

To find the perimeter of the parallelogram, you can use the distance formula to find the side lengths of two adjacent sides. You would not need to find the other two side lengths because they are each congruent to their opposite sides. You would then add the two adjacent side lengths and then multiply them by two, which would get you the perimeter of the whole parallelogram. To find the area of the parallelogram, you can use the distance formula to find the base and height of the parallelogram. If the height is not labeled, then you would make a perpendicular line to one of the bases that contains one of the parallelogram points. You would then see on what point of the other parallelogram base the perpendicular line passes through, and those two points make the height. You would then multiply the base and height lengths, which would get you the area of the parallelogram.

Answer 2

@KingGeorge

Answer 3

Seems reasonable to me.

Answer 4

Thanks a bunch.