Find the area of a parallelogram with the given vertices. p(-2, -5), q(9, -5), r(1, 5), s(12, 5)

The area of the parallelogram is 55 square unit.

Step-by-step explanation:

The area of a parallelogram is

It is given that the vertices of the parallelogram are  P(-2, -5), Q(9, -5), R(1, 5), S(12, 5).

Plot these points on a coordinate plane, and draw a perpendicular on PQ from the point R.

From the graph is clear that length of PQ is 11 and the height of the parallelogram is 10. So, the area of a parallelogram is

Therefore the area of the parallelogram is 55 square unit.