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Geometry Drill 4/22/14
 In your own words define
perimeter and area
 Make a list of any formula you
know that applies to...
Objective
SW recall area and
perimeter formulas so
that they can find the
area and perimeter of
irregular regions.
Compare:
Regular polygons vs.
polygons
Perimeter of a
Rectangle
P=2b+2h
h
b
Area of a Rectangle
A=bh
h
b
Area of a Triangle
A=(1/2)bh
h
b
Irregular Region
A region(shape)
composed of many
smaller
regions(shapes)
Area of an Irregular
Region
The sum of the areas
of all the non-
overlapping parts of
the region
Find the area of the
irregular region
43
2
Perimeter of an
Irregular Region
The distance
around the
region.
Find the Perimeter of
the region
43
2
Conclusions
 1) To find the area of an
irregular region, find the
areas of its smaller
_____ and find their
_____.
Conclusions
 1) To find the area of an
irregular region, find the
areas of its smaller
_____ and find their
_____.
parts
...
Conclusions
 2) To find the perimeter
of an irregular region,
find the ________
around the region.
Conclusions
 2) To find the perimeter
of an irregular region,
find the ________
around the region.
distance
Find the perimeter of
rectangle ABCD
A
B
C
D
5 in.
3 in.
4 in.
EXPLORATION
We know how to find
the area of a rectangle.
How can I form a
rectangle from this
parallelogram?
Parallelogram
Parallelogram
Parallelogram
Parallelogram
Parallelogram
Parallelogram
Rectangle
b2
b2
b1
b1
h
h
b2
b2
b1
b1
h
h
b2
b1
h
b2
b1
h
b2
b1
h
b2
b1
h
b2
b1
h
Parallelogram
b1
b2
AREA OF A
PARALLELOGRAM
A = bh
AREA OF A
TRIANGLE
A = 1/2(bh)
AREA OF A
TRAPEZOID
A = h/2(b1+b2)
b1 and b2 are the
bases
ALTERNATE
FORMULA AREA
OF A TRAPEZOID
A = length of
median times the
height
Find the Area of
Trapezoid ABCD
12
10
ABCD is a rhombus with
diagonals d1 & d2
D C
A B
AREA OF A
RHOMBUS
A = 1/2(d1d2)
d1 and d2 are the
diagonals
Find the area:
10
5
6
Find the area:
5
42
Find the area:
5
12
8
Find the area:
12
9
15
Find the area:
8
57
Area of a
Rhombus
Find the area of a
rhombus if the lengths
of the diagonals are
12m and 10 m.
9001 area and perimter
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Transcript of "9001 area and perimter"

  1. 1. Geometry Drill 4/22/14  In your own words define perimeter and area  Make a list of any formula you know that applies to perimeter or area of a geometric figure.
  2. 2. Objective SW recall area and perimeter formulas so that they can find the area and perimeter of irregular regions.
  3. 3. Compare: Regular polygons vs. polygons
  4. 4. Perimeter of a Rectangle P=2b+2h h b
  5. 5. Area of a Rectangle A=bh h b
  6. 6. Area of a Triangle A=(1/2)bh h b
  7. 7. Irregular Region A region(shape) composed of many smaller regions(shapes)
  8. 8. Area of an Irregular Region The sum of the areas of all the non- overlapping parts of the region
  9. 9. Find the area of the irregular region 43 2
  10. 10. Perimeter of an Irregular Region The distance around the region.
  11. 11. Find the Perimeter of the region 43 2
  12. 12. Conclusions  1) To find the area of an irregular region, find the areas of its smaller _____ and find their _____.
  13. 13. Conclusions  1) To find the area of an irregular region, find the areas of its smaller _____ and find their _____. parts sum
  14. 14. Conclusions  2) To find the perimeter of an irregular region, find the ________ around the region.
  15. 15. Conclusions  2) To find the perimeter of an irregular region, find the ________ around the region. distance
  16. 16. Find the perimeter of rectangle ABCD A B C D 5 in. 3 in. 4 in.
  17. 17. EXPLORATION We know how to find the area of a rectangle. How can I form a rectangle from this parallelogram?
  18. 18. Parallelogram
  19. 19. Parallelogram
  20. 20. Parallelogram
  21. 21. Parallelogram
  22. 22. Parallelogram
  23. 23. Parallelogram
  24. 24. Rectangle
  25. 25. b2 b2 b1 b1 h h
  26. 26. b2 b2 b1 b1 h h
  27. 27. b2 b1 h b2 b1 h
  28. 28. b2 b1 h b2 b1 h
  29. 29. b2 b1 h Parallelogram b1 b2
  30. 30. AREA OF A PARALLELOGRAM A = bh
  31. 31. AREA OF A TRIANGLE A = 1/2(bh)
  32. 32. AREA OF A TRAPEZOID A = h/2(b1+b2) b1 and b2 are the bases
  33. 33. ALTERNATE FORMULA AREA OF A TRAPEZOID A = length of median times the height
  34. 34. Find the Area of Trapezoid ABCD 12 10
  35. 35. ABCD is a rhombus with diagonals d1 & d2 D C A B
  36. 36. AREA OF A RHOMBUS A = 1/2(d1d2) d1 and d2 are the diagonals
  37. 37. Find the area: 10 5 6
  38. 38. Find the area: 5 42
  39. 39. Find the area: 5 12 8
  40. 40. Find the area: 12 9 15
  41. 41. Find the area: 8 57
  42. 42. Area of a Rhombus Find the area of a rhombus if the lengths of the diagonals are 12m and 10 m.
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