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

2. Area of Composite Shapes Example #1: Find the area of the composite shape below.
10 feet
4 feet
Plan:
Area of a Rectangle
+ Area of ½ Circle
l(w)
+ ½ πr2
4(10)
+ ½ π(2)2
4(10) + ½ π(4)
Diameter = 4 feet
40 + ½ π(4)
Radius = 2 feet
40 + (1.57)(4)
46.28 square feet

3. Area of Composite Shapes Example #2: Find the area of the shaded region.
Plan:
Area of a Square
- Area of Circle
4 cm
l(w)
- πr2
4 cm
4(4)
- π(2)2
4 cm
4(4) - π(4)
16 - π(4)
4 cm
3.44 square cm

4. Area of Composite Shapes Example #3: Find the area of the shaded region.
Plan:
6 in
5 in
4 in
12 in
Area of a Trapezoid
- Area of a Triangle
½(h)(b1 + b2)
- ½(b)(h)
½(4)(6 + 12)
- ½(6)(4)
½(4)(18) - ½(6)(4)
36 - ½(6)(4)
24 square inches

5. Area of Composite Shapes Example #4: Find the area of the shaded region.
Plan:
8 ft
15 ft
6 ft
10 ft
Area of a Trapezoid
- Area of a Circle
½(h)(b1 + b2)
- πr2
½(8)(6 + 15)
- π(4)2
½(8)(21) - π(4)2
½(8)(21) - π(16)
84 - π(16)
84 – 50.24
33.76 square feet

6. Area of Composite Shapes Example #5: Find the area of the polygon below.18 in
5 in
11 inches
9 inches
Plan:
Area of a Rectangle
+ Area of a Rectangle
l(w)
+ l(w)
9(18)
+ 5(11)
217 Square inches