2. Mr. Miller Geometry Chapter 10 Sections 1 and 2

3. Area is the amount of surface space that a flat object has. Area is reported in the amount of square units.

4. When you measure the amount of carpet to cover the floor of a room, you measure it in square units. Would the area of your bedroom or the area of your house be greater? You’re right! The area of your house is greater than the area of your bedroom.

5. Area = 15 square feet Lets find the area of this surface if each square is equal to one foot. Count the number of squares. 12 3 45678 91011121314 15

6. Count the number of green squares to determine the area of this surface. What is the area? The area is equal to 9 square units. Try this one! 1 5 2 4 7 3 6 89

7. Perimeter is the distance around the outside edge of a flat object. Perimeter is reported as a total number of linear units.

8. When you measure the amount of wallpaper border to go around a room, you measure it in lengths. Would the perimeter of your bedroom or the perimeter of your house be greater? You’re right! The perimeter of your house is greater than the perimeter of your bedroom.

9. Perimeter = 24 feet Let’s find the perimeter of this surface if each square is equal to one foot. Count the number of sides.

10. Count the number of sides to determine the perimeter of this flat object. The perimeter is equal to 12. Try this one!

11. Two neighbors build swimming pools. This is what the pools look like. Family A Family B Which family has the pool with the bigger swimming area? Let’s do these problems together.

12. The area of Family A’s pool is? Family A Family B 8 square units. 7 square unitsThe area of Family B’s pool is? Therefore, Family A has the pool with the bigger swimming area.

13. The perimeter of Family A’s pool is 12 units long. Family B Family A The perimeter of Family B’s pool is 14 units long. Therefore, Family B has more side panels of the pool to clean. Now look at those same two pools. Which family has more side panels of the pool to clean?

14. Which of the following areas are you trying to find? ParallelogramTriangleTrapezoid AREAS OF POLYGONS

15. AREA OF A PARALLELOGRAM Welcome. Today you’re going to discover the formula for area of a parallelogram. h b Click to Continue

16. AREA OF A PARALLELOGRAM To do this let’s cut the left triangle and… h b Click to Continue

17. slide it… AREA OF A PARALLELOGRAM h h b Click to Continue

18. slide it… AREA OF A PARALLELOGRAM h h b

19. slide it… AREA OF A PARALLELOGRAM h h b

20. slide it… AREA OF A PARALLELOGRAM h h b

21. …thus, changing it to a rectangle. What is the area of the rectangle? AREA OF PARALLELOGRAM h b

22. Congratulations!!! You Answered Correctly. Click to continue.

23. AREA OF A PARALLELOGRAM Since the area of the rectangle and parallelogram are the same, just rearranged, what is the formula for the area of this parallelogram? h b

24. Congratulations!!! You Answered Correctly. Click to continue.

25. The next slide will take you into discovering the area of a triangle. Do you wish to continue? YesNo

26. AREA OF A TRIANGLE Hello. You will now be discovering the formula for area of a triangle. h b Click to Continue

27. AREA OF A TRIANGLE Let’s divide the triangle so that we divide the height in two. b ? ? Click to Continue

28. AREA OF A TRIANGLE Now take the top and rotate… b ? ? Click to Continue Remember, we divided the height into two equal parts.

29. AREA OF A TRIANGLE rotate… ? ?

30. AREA OF A TRIANGLE ? ? b rotate…

31. AREA OF A TRIANGLE ? ? b rotate…

32. AREA OF A TRIANGLE ? ? b rotate…

33. AREA OF A TRIANGLE ? ? b rotate…

34. AREA OF A TRIANGLE ? ? b …until you have a parallelogram. How would you represent the height of this parallelogram?

35. AREA OF A TRIANGLE ? ? b b ? ? Remember, you divided the height in two. Click to Continue

36. AREA OF A TRIANGLE ? b What is the area of this parallelogram?

37. Congratulations!!! You Answered Correctly. Click to continue.

38. AREA OF A TRIANGLE The area of this triangle would be the same as the parallelogram. Therefore, the formula for the area of a triangle is… what? h b

39. Congratulations!!! You Answered Correctly. Click to continue.

40. The next slide will take you into discovering the area of a trapezoid. Do you wish to continue? YesNo

41. AREA OF A TRAPEZOID Hi. Let’s derive the formula for the area for a trapezoid. Click to Continue

42. AREA OF A TRAPEZOID Remember, there are two different bases on a trapezoid. h Click to Continue

43. AREA OF A TRAPEZOID ? ? First divide the trapezoid horizontally so the height is divided in two. Click to Continue

44. AREA OF A TRAPEZOID ? ? Remember, we divided the height in two. Now, rotate… Click to Continue

45. AREA OF A TRAPEZOID ? ? rotate…

46. AREA OF A TRAPEZOID ?? …until, you have a parallelogram. Click to Continue

47. AREA OF A TRAPEZOID ? How would you represent the height of the parallelogram?

48. AREA OF A TRAPEZOID ? ? ? Remember, we divided the height in two. Click to Continue

49. AREA OF A TRAPEZOID ? How would you represent the base of the parallelogram?

50. AREA OF A TRAPEZOID ? ? ? The new base is made by connecting the top and bottom bases. Click to Continue

51. AREA OF A TRAPEZOID ? How would you represent the area of this parallelogram?

52. AREA OF A TRAPEZOID It is improper to add subscripts. Try again. Click to Continue

53. AREA OF A TRAPEZOID Reminder. In order to add before multiplying you must use grouping symbols. Click to Continue

54. AREA OF A TRAPEZOID The area of this trapezoid is the same as the parallelogram. What is the formula for area of a trapezoid? h

55. Congratulations!!! You Answered Correctly. Click to continue.

56. Sorry!!! Try again. Click to continue.

57. AREAS OF POLYGONS Assignment COMPLETE Tutorials and problems on Pearsonsuccessnet.com AND Area assignment on MathXLforSchool.com Click to Continue