# SSAT Middle Level Math : How to find a parallelogram on a coordinate plane

## Example Questions

### Example Question #1 : How To Find A Parallelogram On A Coordinate Plane

NOTE: Figure NOT drawn to scale.

What is the area of the parallelogram represented by the above figure?

Explanation:

The area of a parallelogram is its base multiplied by its height. The diagram below shows both in green:

### Example Question #2 : How To Find A Parallelogram On A Coordinate Plane

Find the area of the above parallelogram given a height of 5 units, as shown to scale.

Explanation:

Since the diagram is drawn to scale, the base of the parallelogram must be 6 units in length. Using the area formula for a parallelogram:

### Example Question #1 : How To Find A Parallelogram On A Coordinate Plane

Given a base of 12 units and an area of 120 square units, find the height of the paralellogram shown above.

Explanation:

The area formula for a parallelogram is:

Thus, to find the height, rearrange:

### Example Question #2 : How To Find A Parallelogram On A Coordinate Plane

The above parallelogram has an area of 30 square units. Which of the following could be the lengths of the base and height of this figure? (Image not drawn to scale.)