# ISEE Lower Level Quantitative : How to find a parallelogram on a coordinate plane

## Example Questions

### Example Question #1 : Geometry The parallelogram shown above has a height of and a base of length . Find the area of the parallelogram. square units square units square units square units square units

Explanation:

To find the area of the parallelogram apply the formula: Since, the paralleogram has a base of and a height of the solution is: ### Example Question #1 : Geometry The parallelogram shown above has a height of and a base of length . Find the perimeter of the parallelogram.     Explanation:

In order to find the correct perimeter of the parallelogram apply the formula: , where the length of one of the diagonal sides and the length of the base.

In order to find the length of side , apply the formula: . By drawing an altitude from point to , a right triangle is formed with a base that has a length of and a height of .

Thus, the solution is:  length of side    Therefore,   ### Example Question #1 : How To Find A Parallelogram On A Coordinate Plane Identify the coordinate points for the parallelogram that is shown above.     Explanation:

In order to identify the coordinate points for this parallelogram, notice that there must be two different pairs of coordinates with the same values.

Thus, the parallelogram has coordinate points: ### Example Question #1 : Geometry What is the area of the parallelogram shown above? square units square units square units square units square units

Explanation:

To find the area of the parallelogram that is shown, apply the formula: Since the parallelogram has a base of and a height of the solution is: ### Example Question #1 : How To Find A Parallelogram On A Coordinate Plane Given that the above parallelogram has base sides with a length of and diagonal sides with a length of what is the perimeter of the parallelogram?      Explanation:

In order to find the perimeter of the parallelogram apply the formula: , where the length of one diagonal side and the length of one base.

In this problem, and .
Thus, the correct answer is: ### Example Question #1 : Geometry Identify the coordinate points for the parallelogram shown above.     In order to identify the coordinate points for this parallelogram, notice that there must be two different pairs of coordinates with the same values.  