Take out a calculator to try to solve the following problems on area of composite figures.

For Learning to Happen! Pay close attention to this lesson. This lesson is very short. However, this is a challenging lesson! It is important to follow along with the slides so that you know how to do you know how to calculate the area of composite figures!

To understand COMPOSITE FIGURES you first must know how to calculate missing sides.

What are the missing side lengths ? 12 m 6 m 3 m 9 m 3 m 12 m– 9 m =

What are the missing side lengths ? 12 m 6 m 3 m 9 m 3 m 6 m– 3 m =

What are the missing side lengths ? 10 ft 7 ft 3 ft 10 ft – 7 =

What are the missing side lengths ? 1 in 2 in 3 in 14 in 5 in 3 in 5 in+ 3 in+ 2 in+ 1 in = 11 in 14 in– 11 in =

There are multiple methods for solving Area of Composite Figures. The 1 st method I am going to show you is how to break it up into simpler area problems.

What is the total shaded area ? 12 m 6 m 3 m 9 m 3 m

The 2 nd method involves finding an entire area and then subtracting smaller areas. Pay attention you don’t want to miss this!

What is the total shaded area ? 12 m 6 m 3 m 9 m 3 m

Find the area of the figure below. Area

Find the area of the figure below. A = bh A = 12 9 Area of the rectangle: Area of the triangle: A = bh 1 2 __ A = (6)(7) 1 2 __ A = __ Subtract the area of the triangle from the area of the rectangle. 5 ft 12 ft 6 ft 9 ft = 7ft = 21 ft 2 = 108 ft 2

Find the area of the figure below. A = bh A = 12 9 Area of the rectangle: Area of the triangle: A = bh 1 2 __ A = (6)(7) 1 2 __ A = __ 5 ft 12 ft 6 ft 9 ft = 7ft = 21 ft 2 = 108 ft 2 Shaded area= Area of the rectangle – Area of the triangle A = 108 – 21 = 87 ft 2

THE END!!! Take out your study guide!

#10 20 m 12 m 13 m Area 5 m 25m