10.1 area of polygons   1
Upcoming SlideShare
Loading in...5
×

Like this? Share it with your network

Share
  • Full Name Full Name Comment goes here.
    Are you sure you want to
    Your message goes here
    Be the first to comment
    Be the first to like this
No Downloads

Views

Total Views
686
On Slideshare
663
From Embeds
23
Number of Embeds
3

Actions

Shares
Downloads
22
Comments
0
Likes
0

Embeds 23

http://lcmath8.wikispaces.com 11
http://traumaniq.weebly.com 7
http://www.weebly.com 5

Report content

Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
    No notes for slide

Transcript

  • 1. 10.1 Area of PolygonsPage 521
  • 2. Essential Questions How do you know when to find circumference or area? What strategies and formulas can you use? How is surface area used in the real world? How is the volume of a pyramid related to the volume of a box? How is the volume of a cone related to the volume of a cylinder?
  • 3. Area and Perimeter Perimeter-The distance around a polygon (the sum of the length of all sides) Area- The number of square units inside a closed figure
  • 4. Formulas Triangle: b x h or 1/2bh 2 Rectangle: A = l x w Square: A = l x w or s2 Parallelogram: A = b x h Trapezoid: (b1 +b2) x h or ½ (b1 +b2)x h 2
  • 5. Area Steps: 1. Write the area formula 2. Substitute the values given 3. Answer
  • 6. Area of a parallelogramA=bxh height 90º base
  • 7. What is the area of this parallelogram? A=bxh height 5 cm. A=5x7 A = 35 cm2 base 7 cm. Perimeter P= 5 + 7 + 5 + 7 = 24 cm
  • 8. What is the area of this parallelogram? A=bxh 5 ft. A=5x6 6 ft. A = 30 ft2 8 ft. Perimeter P= 6 + 8 + 6 + 8 = 28 ft
  • 9. What is the area of this parallelogram? 12 m. A=bxh A = 10 x 5 10 m. 5 m. A = 50 m2 Perimeter P= 5 + 12 + 5 +12= 34 m
  • 10. Area of a trapezoid base 1 • Area = (b1 +b2) x h height 2 base 2
  • 11. Area of a trapezoid • Area = (b1 +b2) x hbase 1 base 2 2 height
  • 12. What is the area of this trapezoid? • Area = 15 inches (b1 +b2) x h 2 • Area = 8 Inches 12 (15 +7) x 8 7 inches 2PerimeterP= 7 + 15 + 12 + 12= 46 in A= 88 in. sq.
  • 13. GUIDED PRACTICE for Examples 1 and 22. A trapezoid with bases of 14 feet and 17 feet and a height of 6 feet 1 A= (b + b2)h Write formula for area of a trapezoid. 2 1 1 A= (14 + 17)6 Substitute values for b1, b2 and h. 2 = 93 square feet Multiply.
  • 14. What is the area of this trapezoid? • Area = 25 (b1 +b2) x h 2 35 15 20 • Area = cm (20 +35) x 15 2Perimeter A= 412.5 cm sq.P= 35 + 25 + 20 + 25= 105 cm
  • 15. How to find the area of a square or rectangle. Step 1 – Multiply the length times the width. (A = l x w) 5 3 cm. x3 15 cm 2Perimeter 5 cm.P= 3 + 5 + 3 + 5= 16 cm
  • 16. What is the area? A=bxh 2 in. 2 6 in. x6 12 in. 2PerimeterP= 2 + 6 + 2 + 6 = 16 in
  • 17. TRIANGLES Area formula for triangles is A=bxh or ½ b (h) 2 h b
  • 18. What is the area of this triangle? Area = b x h 2 Area = 20 x 2020 in 2 20 in A= 200 in. sq.
  • 19. What is the area of this triangle? Area = b x h 2 Area = 5 x 10 5 in 2 10 in A= 25 in. sq.
  • 20. What is the area of this triangle? Area = b x h 2 Area = 10 x 8 210 in A= 40 in. sq. 8 in
  • 21.  Find the area and perimeter:Area = b x h 9 cm 12 cm 2 8Area = 18 x 8 2 18 cmA= 72 cm sq. P= 9 + 12 + 18 = 39 cm
  • 22.  Find the area and perimeter: Area = b x h 2 Area = 8 x 7 15 in 8 in 10 in 2 7 in A= 28 in. sq.P= 10 + 15 + 7 = 32 in.