1. 6.7 Areas of Triangles and Quadrilaterals

2. The area of a Square
Area of a Square

3. Postulate
If two polygons are congruent, then they have the same area.

4. Area Addition Postulate
The area of a region is the sum of the area of it nonoverlapping parts.
The Blue area is
Area of
A+B+C+D+E+F+G+H

5. The Area of a Rectangle
Area of a Rectangle is Base times height.

6. The Area of a Parallelogram
is Base times height.

7. Area of a Triangle
Area is one half base times height, even if the height is outside of the triangle

8. Area of a Trapezoid Area is one half height times(base1 + base2).
Height is from base1 to base2

9. Area of a Kite
Area is
one half of diagonal1times diagonal2

10. Area of a Rhombus
Area is
one half of diagonal1 times diagonal2

11. Find the Area
Square

12. Find the Area
Square Area in2

13. Find the Area
Rectangles Area =

14. Find the Area
Rectangles Area = 27.36in in2 = in2

15. Find the Area
Parallelogram Area =

16. Find the Area
Parallelogram Area = in2

17. Find the Area
Find the area of the Trapezoid

18. Find the Area Find the area of the Trapezoid height = 4 base1 = 4

19. Find the Area Find the area of the Trapezoid Area height = 4 ½(4)(4+6)
½(4)(10) base1 = 4
2(10) base2 = 6
Area = 20

20. Find the length of the diagonal
Rhombus Area is 192 units2

21. Find the length of the diagonal
Rhombus Area is 192 units2
192 = ½(8+16)(diagonal)
192 = ½(24)(diagonal)
192 = 12(diagonal)
16 = diagonal
What is x ?

22. Find the Area
What is the total Area

23. Find the Area What is the total Area Trap = ½(3)(10+16) = 39
Rect. = 8(16) = 128
Total = 167in2

24. Homework
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