1. Bell Work: Simplify (-2) 4

2. Answer:16

3. Lesson 37: Areas of combined polygons

4. The areas of some polygons can be found by dividing the polygon into smaller parts and finding the area of each part.

5. Formulas to be familiar with: Area of rectangle: length x width Area of triangle: ½ base x height Pythagorean Theorem: a + b = c 222

6. Example: Find the area of this figure. 4 cm 8cm 6 cm

7. Answer: Area of rectangle = 24 cm Area of triangle = 4 cm Area of polygon = 28 cm 2 2 2

8. Example: Use a calculator to estimate the area of this lot. 100 ft 110 ft 60 ft

9. Answer: x + 100 = 110 ≈ 46 Area of triangle ≈ 2300 ft Area of rectangle = 6000 ft Area of lot = 8300 ft 2 2 2 2 2 2

10. Example: In the figure, AD is 40 cm and DC is 30 cm. Point B is the midpoint of AC and Point E is the midpoint of AD. Find the perimeter and the area of the quadrilateral BCDE. ____ A B C D E

11. Answer: Area of figure BCDE = 450 cm 2

12. HW: Lesson 37 #1-30