1 / 23

Area and Perimeter of Compound Shapes

Area and Perimeter of Compound Shapes. Compound Shapes. Can you describe what a compound shape is?. Shapes Compound shapes. Recap: How do you work out the area of. Area of rectangle = Length x Width Perimeter of rectangle = 2(Length + Width)

yachi
Download Presentation

Area and Perimeter of Compound Shapes

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Area and Perimeter of Compound Shapes

  2. Compound Shapes Can you describe what a compound shape is? • Shapes • Compound shapes

  3. Recap: How do you work out the area of... Area of rectangle = Length x Width Perimeter of rectangle = 2(Length + Width) or L + W + L + W

  4. Area of triangle = (Base x Perpendicular Height) ÷ 2 Perimeter of triangle = Add all the side lengths

  5. Area of Circle = π r2 where r is the radius Perimeter of Circle = Circumference of the circle = 2 π r or π d where d is the diameter of the circle

  6. a h b Area of trapezoid = h(a+b) 2 Perimeter of trapezoid = Add all the side lengths

  7. Compound Shapes • A compound shape is one that is made up of other shapes. • To find the area of a compound shape, you need to split it up into shapes you know: • Label each section. • Write down all dimensions. • Find the areas. • A: • B: • A + B = __________ 7cm 6cm 13cm Remember, there is often more than one way to split up a shape! 4cm

  8. Compound Shapes 4cm • Label each section. • Write down all dimensions. • Find the areas. • A: • B: • A + B = __________ 4cm 7cm 6cm

  9. Compound Shapes • Label each section. • Write down all dimensions. • Find the areas. • A: • B: • A + B = __________ 8cm 13cm 15cm

  10. Compound Shapes • Label each section. • Write down all dimensions. • Find the areas. • A: • B: • C: • A + B + C = __________ 4cm 22cm 15cm 18cm 25cm

  11. Compound Shapes 15cm • Label each section. • Write down all dimensions. • Find the areas. • A: • B: • C: • A + B + C = __________ 14cm 8cm 20cm 9cm 18cm

  12. Alice is putting a wallpaper border around her bedroom. She must find the __________ of her bedroom in order to purchase the correct amount of border. perimeter 12 ft 3 ft ? 4 ft 6.5 ft ? 3.5 ft 8 ft P = 8 ft + 6.5 ft + 12 ft + 3 ft + 4 ft + 3.5 ft Alice needs to purchase 37 feet of border.

  13. Detective LeRue must investigate a crime committed at the local park. How many square meters of ground must he cover when looking for clues? Total area = 28 m2 + 16 m2 + 21 m2 = 65 square meters Is there another way of finding this area? Area = 4 m (7 m) Area = 4 m(4 m) 4 m 3 m 3 m Area =3 m(7 m) 4 m 28 m2 7 m 21 m2 7 m 16 m2

  14. Step 1: Find area of big rectangle • Step 2: Find area of smaller rectangle • Step 3: Subtract the smaller area from the larger area Total area = 77 m2 – 12 m2 = 65 square meters How can we use subtraction to find the area? 11 m 4 m 4 m 3 m 3 m Area = 3 m(4 m) 4 m 7 m 7 m Area =7 m (11 m) =12 m2 = 77 m2

  15. Detective LaRue must isolate the crime scene, how much tape will he need? Perimeter = 7m + 4 m + 3 m+ 4 m + 3 m + 3 m + 7 m + 11 m Detective LaRue needs 42 meters of crime scene tape. 4 m 3 m ? 3 m 4 m 7 m 7 m ?

  16. 1. Find the area and perimeter 6 cm 2 cm 5 cm Area = 74 cm2 Perimeter = 40 cm 9 cm 5 cm

  17. 30 in 30 in 20 in 70 in 2. Find the area and perimeter Area = 2300 in2 Perimeter = 240 in

  18. 3. Find the area and perimeter 3 yd 2 yd 3 yd 4.5 yd Area = 30 yd2 Perimeter = 29 yd 8 yd

  19. 4. Find the area and perimeter. Use 3.14 for π Area = 88.26 ft2 Perimeter = 38.84 ft

  20. 5. Find the area and perimeter Area = 212.75 km2 Perimeter = 69.7 km 14 km 4 km 18 km

  21. 6. Find the area and perimeter Area = 97.5 m2 Perimeter= 36 m 3 m 12.5 m 7.5 m 13 m

  22. 7. Find the area of the arrow. Area = 90 ft2

  23. 8. Find the Area of the Shaded Region. Use 3.14 for π . Area = 437.5 mm2

More Related