ISEE Lower Level Math : Quadrilaterals

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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 : Plane Geometry

Untitled_11

What is the perimeter of parallelogram ABCD?

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

The perimeter of a parallelogram is very easy to find. You just need to add up all the sides. However, you need to notice that the sides "across" from each other are equal on parallelograms. So, your figure could be redrawn:

Untitled_11

The perimeter of your figure is therefore:

Example Question #2 : Plane Geometry

A parallelogram has a side length of .  It also has a side length of .  Calculate the perimeter. 

Possible Answers:

Correct answer:

Explanation:

A parallelogram has four sides and its opposite sides are equal in length.  Therefore, if it has one side length of, it also has another side length of of .  Since we know one of its side lenghts is , then the remaining side is .  We can add all 4 side lengths to calculate the perimeter. 

Example Question #2 : Plane Geometry

What is the perimeter of a parallelogram if the base is , the other side is , and the height is ?

Possible Answers:

Correct answer:

Explanation:

The perimeter of a parallelogram is the sum of all four sides or the sum of two times each side length.  The side lengths are  and  so the perimeter is .

Example Question #3 : Plane Geometry

Find the perimeter of the given parallelogram:

Capture

Possible Answers:

Correct answer:

Explanation:

Find the perimeter of the given parallelogram:

Capture

The perimeter of any shape can be found by adding up the lentghs of its sides.

In this case, we have four sides. 2 that are 16 miles long, and 2 that are 144 miles long.

Find perimeter as follows:

Making our answer 320 miles

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

Find the area of the parallelogram:

Question_11

Possible Answers:

Correct answer:

Explanation:

Example Question #2 : How To Find The Area Of A Parallelogram

Untitled_10

What is the area of the parallelogram ABCD?

Possible Answers:

Correct answer:

Explanation:

A parallelogram's area is found by multiplying its height by the base. The height of the parallelogram is not the side. It is the line that makes a right angle with the base. Therefore, the area of this parallelogram is:

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

Untitled_11

What is the area of parallelogram ABCD?

Possible Answers:

Correct answer:

Explanation:

A parallelogram's area is found by multiplying its height by the base. The height of the parallelogram is not the side. It is the line that makes a right angle with the base. Therefore, the area of this parallelogram is:

Example Question #2 : How To Find The Area Of A Parallelogram

A parallelogram measures  along its base and is  high.  Calculate the area. 

Possible Answers:

Correct answer:

Explanation:

The formula to calucate a parallelogram's area is: 

You calculate the parallelogram's area by multiplying its base by its height.  Therefore, 

Example Question #4 : How To Find The Area Of A Parallelogram

A parallelogram measures  along its base and is  high.  Calculate the area.

Possible Answers:

Correct answer:

Explanation:

The formula to calucate a parallelogram's area is: 

You calculate the parallelogram's area by multiplying its base by its height.  Therefore, 

Example Question #5 : How To Find The Area Of A Parallelogram

Find the area of a parallelogram whose height is  and base is .

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the area of a parallelogram. Thus,

Learning Tools by Varsity Tutors