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

Study concepts, example questions & explanations for SSAT Middle Level Math

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Example Questions

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

 

Parellelogram

NOTE: Figure NOT drawn to scale.

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

Possible Answers:

Correct answer:

Explanation:

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

Parellelogram

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

Triangle5

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

Possible Answers:

Correct answer:

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 #3 : How To Find A Parallelogram On A Coordinate Plane

Triangle5

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

Possible Answers:

Correct answer:

Explanation:

The area formula for a parallelogram is:

Thus, to find the height, rearrange:

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

Triangle5

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.)

Possible Answers:

Correct answer:

Explanation:

The formula for the area of a parallelogram is:

Thus, the base and height must equal 30 square units when multiplied together.

 

3 and 10 are the only combination of base and height which, when multiplied, equal the area of 30 square units.

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