ISEE Lower Level Math : How to find the area of a parallelogram

Example Questions

Example Question #1 : Plane Geometry

Find the area of the parallelogram:

Explanation:

What is the area of the parallelogram ABCD?

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:

What is the area of parallelogram ABCD?

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 #1 : Plane Geometry

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

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 #1 : Plane Geometry

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

Explanation:

The formula to calucate a parallelogram's area is:

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

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

Explanation:

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

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

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

Explanation:

The area of a parallelogram is  so the answer would be .

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

Find the area of the given parallelogram:

Explanation:

Find the area of the given parallelogram:

To find the area of a parallelogram, simply do the following:

Where b is the base, and h is the height. Note that the height is the length of the perpendicular line connecting both bases. In this case, our height is 12mi and our base is 144 miles.

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

Find the area of the given parallelogram: