Area of Composite Shapes

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# Area of Composite Shapes - PowerPoint PPT Presentation

Area of Composite Shapes. We are learning to…find the area of composite shapes (shapes made up of more than one figure). Tuesday, April 1, 2014. Area of Composite Shapes Review of Important Area Formulas. Area of a Rectangle: A = b(h) Area of a Triangle: A = ½(b)(h) Area of a Circle:

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### Area of Composite Shapes

We are learning to…find the area of composite shapes (shapes made up of more than one figure).

Tuesday, April 1, 2014

Area of Composite ShapesReview of Important Area Formulas
• Area of a Rectangle:
• A = b(h)
• Area of a Triangle:
• A = ½(b)(h)
• Area of a Circle:
• A = πr2
• Area of a Parallelogram:
• A = b(h)
• Area of a Trapezoid:
• A = ½(b1 + b2)h

4 feet

10 feet

Area of Composite ShapesExample #1: Find the area of the composite shape below.

Plan:

+ Area of ½ Circle

Area of a Rectangle

+ ½ πr2

l(w)

+ ½ π(2)2

4(10)

4(10) + ½ π(4)

Diameter = 4 feet

40 + ½ π(4)

40 + (1.57)(4)

40 + 6.28

46.28 square feet

4 cm

Area of Composite ShapesExample #2: Find the area of the shaded region.

Plan:

- Area of Circle

Area of a Square

- πr2

l(w)

4 cm

- π(2)2

4(4)

4 cm

4(4) - π(4)

16 - π(4)

16 - 12.56

4 cm

3.44 square cm

6 in

4 in

5 in

12 in

Area of Composite ShapesExample #3: Find the area of the shaded region.

Plan:

- Area of a Triangle

Area of a Trapezoid

- ½(b)(h)

½(b1 + b2)(h)

- ½(6)(4)

½(6 + 12)(4)

½(18)(4) - ½(6)(4)

36 - ½(6)(4)

36 - 12

24 square inches

15 ft

8 ft

10 ft

6 ft

Area of Composite ShapesExample #4: Find the area of the shaded region.

Plan:

- Area of a Circle

Area of a Trapezoid

- πr2

½(b1 + b2)(h)

- π(4)2

½(6 + 15)(8)

½(21)(8) - π(4)2

½(21)(8) - π(16)

84 - π(16)

84 – 50.24

33.76 square feet

9 inches

18

in

11 inches

5 in

Area of Composite ShapesExample #5: Find the area of the polygon below.

Plan:

Area of a Rectangle

+ Area of a Rectangle

+ lw

l(w)

18 – 5 = 13 inches

+ 5(20)

9(13)

117 + 5(20)

117 + 100

217 Square inches

9 + 11 = 20 inches

Individual Practice
• Try the last example with your team!
• When you are done raise your hand and show your teacher the solution.