ISEE Middle Level Math : Parallelograms

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

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Example Questions

Example Question #261 : Plane Geometry

Find the perimeter of the parallelogram.

Isee_mid_question_5

Possible Answers:

26 in

36 in

13 in

18 in

Correct answer:

26 in

Explanation:

To find the perimeter of a parallelogram, add the lengths of the sides. Opposite sides of a parallelogram are equivalent.

Example Question #1 : How To Find The Perimeter Of A Parallelogram

Parallelogram

Note: Figure NOT drawn to scale.

 

Find the perimeter of the parallelogram in the diagram.

Possible Answers:

Correct answer:

Explanation:

The perimeter of the parallelogram is the sum of the four side lengths - here, that formula becomes

.

Note that the height  is irrelevant to the answer.

Example Question #1 : How To Find The Perimeter Of A Parallelogram

If the perimter of a parallelogram is  and one of the sides is , what is the other side length?

Possible Answers:

The answer cannot be found

Correct answer:

Explanation:

The perimeter of a parallelogram is found by adding up all four sides.

 Since there are two pairs of side with equal lengths, two sides must have a length of .  

So the perimeter would be 

 or .  

To find the value of the other side length, you would divide the remaining perimeter not include in the other sides by .  

So .  

That means the other side length would be .

Example Question #1 : How To Find The Perimeter Of A Parallelogram

If a parallelogram has side lengths of  and , what is the perimeter?

 

 
Possible Answers:

Correct answer:

Explanation:

The perimeter of a parallelogram is two times the two side lengths and add them together.  

Therefore, this particular problem becomes as follows.

 

and 

 

so 

.

Example Question #1 : How To Find The Area Of A Parallelogram

Find the area of the following parallelogram:

Isee_mid_question_42

Note: The formula for the area of a parallelogram is .

Possible Answers:

Correct answer:

Explanation:

The base of the parallelogram is 10, while the height is 5.

Example Question #1 : Area Of A Parallelogram

Find the area:

Question_5

 

Possible Answers:

Correct answer:

Explanation:

The area of a parallelogram can be determined using the following equation:

Therefore,

 

Example Question #1 : How To Find The Area Of A Parallelogram

You can solve the area of a parallelogram when you know the lengths of each of the sides. True or False?

Possible Answers:

Correct answer:

Explanation:

The area of a parallelogram is found by computing .  In this situation, you would have the base which is the bottom side but you would not have the height measurement.  Since you would not be able to solve for the area with just the side lengths, the statement is .

Example Question #1 : Parallelograms

If a parallelogram has side lengths of  and , what is the area?

Possible Answers:

Cannot be determined.

Correct answer:

Cannot be determined.

Explanation:

To find the area of a parallelogram, you use the formula,

 .  

Since the height in this problem is not known, you cannot solve for area.

Example Question #3 : How To Find The Area Of A Parallelogram

Find the area of a parallelogram with a base of 6 inches and a height of 9 inches.

Possible Answers:

Correct answer:

Explanation:

To find the area of a parallelogram, we will use the following formula:

where is the base and h is the height of the parallelogram.

 

Now, we know the base has a length of 6 inches. We also know it has a height of 9 inches.  Knowing this, we can substitute into the formula.  We get

Example Question #1 : How To Find The Area Of A Parallelogram

Find the area of the parallelogram with a base length of 6 and a height of 15.

Possible Answers:

Correct answer:

Explanation:

Write the area formula of a parallelogram.

Substitute the dimensions into the formula.

The answer is:  

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