Area of a Parallelogram

Area of Parallelograms

Lesson Goals

• Determine the area of a parallelogram.

• Solve real-world problems related to the area of parallelograms.

Standards

• 6.GM.4

  Find the area of complex shapes composed of polygons by composing or decomposing into simple shapes; apply this technique to solve real-world and other mathematical problems.

Parallelograms

• A parallelogram is a 4 sided figure whose opposite sides are parallel lines.

• Any line can be called the base.

• The height is perpendicular to the base and connects to the opposite side.

Multiple Choice

What is the area of a parallelogram?

• 1/2 (bh)

• l x w

• b x h

Multiple Choice

Where is the base?

• 10 in

• 4 in

Multiple Choice

Where is the height?

• 10 in

• 4 in

Multiple Choice

Find the area.

• 40 in²
• 40
• 40 in
• 4 in²

Multiple Choice

Where is the base?

• 6 in

• 5 in

• 10 in

Multiple Choice

Where is the height?

• 6 in

• 5 in

• 10 in

Multiple Choice

Find the area.

• 60 in
• 60 in²
• 50 in
• 50 in² 

Multiple Choice

Find the area.

• 24 ft²
• 24 in
• 24 in²
• 12 in²

Multiple Choice

Find the area.

• 45 in
• 45 in²
• 95 in²
• 45 mm²

Find the area of the black stripe.

What do you know?
Were is the base? Where is the height?​

How do I multiply fractions!?

Example 1

Poll

Find the area.

• $$202\frac{1}{2}$$ in²

• 180 in²

• $$202\ \frac{1}{2}$$ in

• 180 in

​
What do I know?
Height?
Base?
Multiplying fractions!?

Your turn!

Find the area.

Multiple Choice

Find the area!

• $$166\ \frac{1}{2}$$ ft²

• 170 ft²

• $$27\ \frac{1}{4}$$ ft²

• $$166\ \frac{1}{2}$$ ft

​How do you think this problem is solved?

Example 2: Find the missing dimension

What's missing?
Plug in the numbers in the formula.

A = bh
45 = 9 (h)------Solve for h

Find the missing dimension

​Remember....

A=bh

Your turn!

Multiple Choice

Find the missing side.

• 8 m

• 8 m²

• 7 m

• 9 m

Complete the Extra Practice Worksheet--have it checked when completed!