1. 7.4: Areas of Trapezoids, Rhombuses, and Kites
Objective:
To find the areas of trapezoids, rhombuses, and kites

2. Example
Find the area of the parallelogram

3. Bases and Heights
The parallel sides of a trapezoid are the bases. The altitude is a segment connecting the bases that is perpendicular to both. The length of the altitude (the distance between the bases) is the height.
How to find area

4. Area of a Trapezoid Theorem
The area of a trapezoid is one half the product of the height and the sum of the lengths of the bases.

5. Example 2
Find the area of the trapezoid.

6. Investigation
The following investigation will demonstrate how to compute the area of a kite.
Area of a kite

7. Area of a Kite Theorem
The area of a kite is one half the product of the lengths of its diagonals.

8. Example
Find the area of the kite to the nearest whole square unit.

9. Area of a Rhombus
The area of a rhombus is one half the product of the length of its diagonals.
Area of a Rhombus

10. Area of a Rhombus Theorem
The area of a rhombus is one half the product of the length of its diagonals.

11. Example
Find the area of the rhombus.

12. Example
Find the area of each polygon.

13. How you could find the area of the regular hexagon shown.

14. Example
Find the area of each regular polygon.