1. Area of a Parallelogram
Calculate the area of quadrilaterals. Quadrilaterals include squares, rectangles, rhombuses, parallelograms, trapezoids and kites. When formulas are used, be able to explain why they are valid.

2. I can… Determine the area of parallelograms Self Assessment
5- I can do it without help & teach others.
4- I can do this with no help, but I don’t know if I can explain it.
3- I can do this with a little help.
2- I can do this with a lot of help!
1- I don’t have a clue.

3. Parallelograms Finding the Area of Parallelograms
In this lesson, we will learn how to find the area of parallelograms.
Parallelograms are quadrilaterals that have two sets of opposite parallel sides.
These sides are parallel.
These sides are also parallel. So, this is a parallelogram.
This quadrilateral is also a parallelogram.
And these sides are also parallel.
Here is one more quadrilateral.
And these sides are also parallel. So, this quadrilateral is also a parallelogram.
Here is one more quadrilateral.
And these sides are also parallel. So, this quadrilateral is also a parallelogram.
And these sides are also parallel.
These sides are parallel.
These sides are parallel.
In this lesson, we will learn how to find the area of parallelograms.
Parallelograms are quadrilaterals that have two sets of opposite parallel sides.
These sides are parallel.
These sides are also parallel. So, this is a parallelogram.
This quadrilateral is also a parallelogram.

4. Finding the Area of Parallelograms
What is the area of this parallelogram?
Let’s use a grid to help us see unit squares.
Let’s use a grid to help us see unit squares.
What is the area of this parallelogram?

5. Finding the Area of Parallelograms
We can find the area by counting. 1 2 3 4
4 ½ 5
5 ½ 6
5 ½ 5 6
4 ½ 1 2 3 4
We can find the area by counting.

6. Finding the Area of Parallelograms
6 square units
The area of the parallelogram is 6 square units.
Let’s decompose and rearrange the parallelogram. Now, we can see 6 whole square units.
Let’s decompose and rearrange the parallelogram. Now, we can see 6 whole square units.
The area of the parallelogram is 6 square units.

7. Finding the Area of Parallelograms
6 square units

8. Finding the Area of Parallelograms
Now, let’s find the area of this parallelogram.
Now, let’s find the area of this parallelogram.

9. Finding the Area of Parallelograms
9 square units
Again, we’ll use a grid to help us see square units.
Notice that this time, there are parts of the parallelogram that are neither whole units nor half units.
So let’s decompose the shape and rearrange the parts to help us see complete unit squares.
What is the area of the shape?
9 square units
9 square units
So let’s decompose the shape and rearrange the parts to help us see complete unit squares.
Again, we’ll use a grid to help us see square units.
Notice that this time, there are parts of the parallelogram that are neither whole units nor half units.
What is the area of the shape?

10. Finding the Area of Parallelograms
9 square units
The area of the parallelogram is 9 square units.
The area of the parallelogram is 9 square units.

11. Finding the Area of Parallelograms
Now, let’s find the area of this parallelogram.
Now, let’s find the area of this parallelogram.

12. Finding the Area of Parallelograms
12 square units
Again, we’ll use a grid to help us see square units.
So, let’s decompose the shape and rearrange the parts to help us see complete unit squares.
What is the area of the shape?
12 square units
12 square units
What is the area of the shape?
Again, we’ll use a grid to help us see square units.
So, let’s decompose the shape and rearrange the parts to help us see complete unit squares.

13. Area of a Parallelogram = Base × Height
Finding the Area of Parallelograms
Area of a Parallelogram = Base × Height
12 square units
4 units
We know the area is 12 square units.
We can use a formula to find the area of a parallelogram. The area is equal to its base times its height.
The base of this parallelogram is 3 units.
Its height is 4 units.
3 x 4 = 12. The area is 12 square units.
3 units
3 x 4 = 12. The area is 12 square units.
We can use a formula to find the area of a parallelogram. The area is equal to its base times its height.
We know the area is 12 square units.
The base of this parallelogram is 3 units.
Its height is 4 units.

14. Finding the Area of Parallelograms
15 square units
Here is a new parallelogram.
We can decompose it to find its area. What is the area?
15 square units
We can decompose it to find its area. What is the area?
Here is a new parallelogram.
15 square units

15. Finding the Area of Parallelograms
15 square units
5 units
The area of the parallelogram is 15 square units.
Notice that 15 square units is equal to multiplying the base—which is 3 units …
… by the height—which is 5 units.
3 units
Notice that 15 square units is equal to multiplying the base—which is 3 units …
… by the height—which is 5 units.
The area of the parallelogram is 15 square units.

16. Finding the Area of Parallelograms
30 square units
Let’s find the area of this parallelogram.
What is the area?
30 square units
What is the area?
Let’s find the area of this parallelogram.
30 square units

17. Finding the Area of Parallelograms
30 square units
6 units
The area of the parallelogram is 30 square units.
5 units …
… times 6 units is equal to 30 square units.
5 units
5 units …
… times 6 units is equal to 30 square units.
The area of the parallelogram is 30 square units.

18. Area of a Parallelogram = Base × Height
Finding the Area of Parallelograms
20 square feet
5 feet
Let’s find the area of this parallelogram.
This parallelogram has a base that measures 4 feet …
… and a height of 5 feet. What is its area?
20 square feet
4 feet
Area of a Parallelogram = Base × Height
Let’s find the area of this parallelogram.
… and a height of 5 feet. What is its area?
This parallelogram has a base that measures 4 feet …
20 square feet

19. Area of a Parallelogram = Base × Height
Finding the Area of Parallelograms
54 square m
6 m
Let’s find the area of this parallelogram.
It has a base of 9 meters …
… and a height of 6 meters. What is its area?
54 square meters
9 m
Area of a Parallelogram = Base × Height
54 square meters
It has a base of 9 meters …
… and a height of 6 meters. What is its area?
Let’s find the area of this parallelogram.

20. Area of a Parallelogram = Base × Height
Finding the Area of Parallelograms
21 square feet
7 feet
Let’s find the area of this parallelogram.
It has a base of 3 feet …
… and a height of 7 feet. What is its area?
21 square feet
3 feet
Area of a Parallelogram = Base × Height
21 square feet
It has a base of 3 feet …
… and a height of 7 feet. What is its area?
Let’s find the area of this parallelogram.

21. Area of a Parallelogram = Base × Height
Finding the Area of Parallelograms
88 square cm
8 cm
Let’s find the area of this parallelogram.
Its base is 11 cm …
… and its height is 8 cm. What is the area?
88 square cm
11 cm
Area of a Parallelogram = Base × Height
88 square cm
Its base is 11 cm …
… and its height is 8 cm. What is the area?
Let’s find the area of this parallelogram.

22. Area of a Parallelogram = Base × Height
Finding the Area of Parallelograms
12 square feet
5 feet
3 feet
Sometimes, you might see more measurements than you need to find the area.
Here are three measurements. But we only need the base and the height to find the area.
This measurement is an important one, but it is not needed to find the area of the parallelogram.
The base is 4 feet …
… and the height is 3 feet. Notice that the height is perpendicular to the base. Now, what is the area?
12 square feet
4 feet
Area of a Parallelogram = Base × Height
12 square feet
This measurement is an important one, but it is not needed to find the area of the parallelogram.
Sometimes, you might see more measurements than you need to find the area.
Here are three measurements. But we only need the base and the height to find the area.
The base is 4 feet …
… and the height is 3 feet. Notice that the height is perpendicular to the base. Now, what is the area?

23. Finding the Area of Parallelograms
Lightning Round

24. What is the area of the parallelogram?
Finding the Area of Parallelograms
What is the area of the parallelogram?
48 square cm
6 cm
7 cm
8 cm

25. What is the area of the parallelogram?
Finding the Area of Parallelograms
What is the area of the parallelogram?
180 square m
9 m
11 m
20 m

26. What is the area of the parallelogram?
Finding the Area of Parallelograms
What is the area of the parallelogram?
90 square km
15 km
18 cm
6 km

27. Finding the Area of Parallelograms
The area of a parallelogram is 45 square centimeters and the height is 9 centimeters. What is the base?
A = bh
45 = b • h
45 = b • 9 9 9
5 cm = b

28. What is the base? A = bh 180 = b • h 180 = b • 24 24 24 7.5 ft. = b
Finding the Area of Parallelograms
The area of a parallelogram is 180 square feet and the height is 24 feet.
What is the base?
A = bh
180 = b • h
180 = b • 24 24 24
7.5 ft. = b

29. I can… Determine the area of parallelograms Self Assessment
5- I can do it without help & teach others.
4- I can do this with no help, but I don’t know if I can explain it.
3- I can do this with a little help.
2- I can do this with a lot of help!
1- I don’t have a clue.

30. Area of a Parallelogram
10.1 Notes
Area of a Parallelogram
Area = base • height
A = bh
Copy the equation (don’t just solve in your head)
Substitute the numbers for the variables
Solve
base