1. Area of a Parallelograms and Triangles

2. PARALLELOGRAM
What is the area
of this parallelogram?
S=side
H=height
B=base

3. PARALLELOGRAM What is the area of this parallelogram? S=side H=height
B=base
CUT HERE!

4. PARALLELOGRAM What is the area of this parallelogram? H=height B=base
MOVE TO HERE!

5. the area of this rectangle!
PARALLELOGRAM
It’s the same as
the area of this rectangle!
H=height
B=base

6. Arearectangle= Base x Height
PARALLELOGRAM
Arearectangle= Base x Height
(perpendicular height H)
H=height
B=base

7. Areaparallelogram = Base x Height
(perpendicular height H)
Side
H=height
B=base

8. What is the area of this parallelogram?
To find the area of a parallelogram, you always multiply the base and the height.
Remember: The height is the line segment that is perpendicular to the base and creates a right angle.
What is the area of this parallelogram?
10 in
12 in
Area = base x height
A = (10)(10)
A = 100 in²
10 in

9. Examples A=bh A= 11(7) A=77 in² Find the area of the parallelogram.

10. Your Turn A=bh A= 12(24) A=288 cm² Find the area of the parallelogram.

11. A treadmill’s belt is in the shape of a parallelogram before the ends are joined to form a loop. The area of the belt is 2052 in². The belt’s width, which is the height of the parallelogram, is 18 inches. Find the length of the belt, which is the base of the parallelogram.

12. 18 in b
A=bh
2052= b(18)
b =114
The length of the treadmill’s belt is 114 inches

13. Triangles
Height and Base of a Triangle
HEIGHT
BASE
HEIGHT
BASE
BASE

14. Area of a Triangle
Area: A = 1 2 𝑏ℎ
Area = 1 2 ×𝑏𝑎𝑠𝑒×ℎ𝑒𝑖𝑔ℎ𝑡

15. Why is that the Area of a Triangle?
Area of parallelogram = base x height 1 2

16. Finding the Area of a Triangle
Write the formula for area of a triangle.
Substitute in values.
Simplify.
111 ft
231 ft

17. Examples Find the Area of the triangle. A = ?, b = 9 ft, h = 6 ft 12 m

18. Finding the Base of a Triangle
A triangle has a height of 10 centimeters and an area of 35 square centimeters. Find the base of the triangle.
Write the formula for area of a triangle.
Substitute in values.
Simplify.
Solve.

19. Practice: Blue Book Pg. 554: #7-13 all Pg. 561: #6-15 all