Area of Parallelograms and Rhombuses

Area of Parallelograms

How can you use the formula of a rectangle to find the area of a parallelogram?

Find the Area of a Parallelogram

Look at the parallelogram: If you move the triangle to the opposite side, you form a rectangle with the same area as the parallelogram.

Area of a Parallelogram

The base of the parallelogram (b) equals the length of the rectangle (l).

The height of the parallelogram (h), which is perpendicular to the base, equals the width of the rectangle (w).

Area of a Parallelogram = Area of a Rectangle

To find the area, you multiply the base by the height.

Multiple Choice

What is the area of the parallelogram?

• 150 sq ft

• 225 sq ft

• 290 sq ft

• 300 sq ft

Multiple Choice

This parallelogram has an area of 117 cm². What is the height of the parallelogram?

• 36 cm

• 18 cm

• 9 cm

• 4.5 cm

Fill in the Blank

What is the area of a parallelogram with b = 4 ft and h = 6 ft?

Fill in the Blank

What is the area of the parallelogram?

Fill in the Blank

What is the area of the parallelogram?

Open Ended

If the area of a parallelogram is 45 square inches and the base is 5 inches, how can you find what the height is?

Open Ended

What is the base of the parallelogram if the height is 2.4cm and an area of 28.8 square centimeters?

Poll

How do you feel about finding the area of a parallelogram?

• Great!

• So-So

• Confused