IXL | Understanding area of a parallelogram | 6th grade math

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This is a parallelogram.

Which shows the parallelogram cut and rearranged into a rectangle?

What is the area of the parallelogram?

square kilometers

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or

Learn with an example

question

This is a parallelogram.

Which shows the parallelogram cut and rearranged into a rectangle?

What is the area of the parallelogram?

square centimeters

solution

This parallelogram has a base of 8 centimeters and a height of 7 centimeters.

You can cut and rearrange the parallelogram into a rectangle. First, cut it into two pieces along the dashed line.

Next, rearrange the pieces.

Finally, put the pieces back together. This rectangle has the same area as the parallelogram.

Now, find the area of the rectangle. Its sides are 8 centimeters and 7 centimeters long. Multiply to find its area.

8

7

=

56

The area of the rectangle is 56 square centimeters.

The parallelogram has the same area as the rectangle, 56 square

centimeters.

Notice that the rectangle has sides that are the same length as the base

b

=

8

centimeters and height

h

=

7

centimeters of the parallelogram.

So, to find the area of a parallelogram, you can multiply its base by its height.

Area

=

base

height

A

=

b

h

Looking for more? Try these:

Lesson: Area of parallelograms

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GG.2Area of rectangles and squares

Lesson: Area of parallelograms