1. 10-2 Areas of Trapezoids, Rhombuses, and Kites

2. You will find the area of a trapezoid, a rhombus, and a kite.

3. Theorem 10-4 The area of a trapezoid is half the product of the height and the sum of the bases. Area of a Trapezoid A = 1 / 2 h(b 1 +b 2 ) b1b1 b2b2 h

4. Example: Find the area for the following trapezoid A = 1/2 · (16in.) · (21in.+38in.) 38 in. 21 in. 16 in. A = 1/2 · (16in.) · (59in.) A = 440 in2

5. Theorem 10-5 The area of a rhombus or a kite is half the product of the lengths of its diagonals. Area of a Rhombus or a Kite A = 1 / 2 d 1 d 2 d1d1 d2d2 d1d1 d2d2

6. Example: Find the area for the following kite A = 1/2 · (2+10) · (6.5+6.5) A = 1/2 · (12) · (13) A = 78 6.5 10 2 6.5

7. Area = bh Area = 20.762 Area = 3.46 * (5+7)/2 Example: Find the area for the following using a right triangle Need the height 5m 7m 60 0 h 300,600,900  longer leg = shorter leg 3 2m h = 3.46 3.46m

8. Assignment

9. Assignment Workbook Page 441 all