Question

Find the area of a parallelogram with the given vertices. P(-2, -5), Q(9, -5), R(1, 5), S(12, 5)

Answer 1

The area of the parallelogram is 55 square unit.

Explanation:

The area of a parallelogram is

`A=(1)/(2)* base* height`

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

`A=(1)/(2)* 11* 10`

`A=55`

Therefore the area of the parallelogram is 55 square unit.