Area of Composite Figures

Find the area of the irregular figure. Use 3.14 for .

A = bh

A = 16 • 9A = 144

Step 1: Separate the figure into smaller, familiar figures.

16 m

9 m

16 mStep 2: Find the area of each smaller figure.

EX1)

A = (r)1

2__

A ≈ (3.14 • 82)1

2__

A ≈ (200.96) 12

__

A ≈ 100.48

Area of the parallelogram:

Area of the semicircle:

A ≈ 144 + 100.48 = 244.48

The area of the figure is about 244.48 m2.

Step 3: Add the area to find the total area.

A = lw

A = 8 • 9

A = 72

3 yd

9 yd

8 yd

4 ydEX2)

A = bh12__

A = (3 • 7)12

__

A = (21) 12

__

A = 10.5

Rectangle Triangle

A = 72 + 10.5 = 82.5

2 yd

A = lw

A = 16 • 30

A = 480 m²

EX3)

Rectangle Circle A = 480 - 154

30 m

16 m

7 m

r²A = (7)(7)

A = 154 m²

227

A = 22(7)

A = 326 m²

Essential Question

Describe the process to find how much area to paint a wall with a window.

AssignmentPage 631

1-10Omit 9

Area of Composite Figures

Date ______________

Find the area of the irregular figure. Use 3.14 for .

Step 1: 16 m

9 m

16 mStep 2:

EX1)

Area of the parallelogram:

Area of the semicircle:

Step 3:

3 yd

9 yd

8 yd

9 yd

EX2)

Rectangle Triangle

EX3)

Rectangle Circle

Essential Question

Describe the process to find how much area to paint a wall with a window.