The document focuses on teaching students how to find the area of composite figures formed by basic shapes like triangles, squares, rectangles, and circles. It includes objectives, drills for identifying shapes and matching them with area formulas, review problems, and a new concept discussion on composite figures. The document also provides guided problem-solving steps for calculating areas of various composite figures.

1. Area of Composite Figures
I. Objectives:
 Find the area of composite
figures by any two or more of the
following: triangle, square,
rectangle, circle, and semi- circle
( M6ME-IIIh-89)

2. II. Drill:
A. Identify the figures below:
1. 3.
2. 4.

3. B. Match the figures in Column A with their
corresponding
formula in finding their area in Column B.
Column A
1. Triangle
2. Square
3. Rectangle
4. Circle
5. Parallelogram
Column B
A. l x w
B. b x h
C. ½ b x h
D. s x s
E. C=2

4. III. Review: (Group Game:)
Solve each situation. Show complete solution.
1.What is the area of a square garden with a side
of
9 meters?
2. A circular table has a radius of 3 meters.
What is the area of the table.
3. A triangular structure has a base of 35 meters
and
a height of 73 meters. What is its area?
4. A parallelogram has a base of 28 meters and a
height of 16 meters. What is its area?
5. The length of a shoe box is 14 inches. Its width
is
half of its length. What is the area?

5. Motivation.
A. As you learned in your previous grades or lessons, the
area of a figure is the amount of flat space that the figure
covers. Area is measured in square units, such as square
inches or square centimeters.
Do you remember how to find the area of:
1. Rectangle (A= l x w)
2. Square (A= s x s)
3. Parallelogram ( A=B x h)
4. Triangle (A=1/2 x b x h)
5. Circle ( A=πr^2)
B. Present this façade of the house
The pupils will describe the façade of the house.

6. Presentation
What is a composite figure?
A figure ( or shape) that can be divided into
more than one of the basic figures is said to be a
composite figure (or shape)

7. Father wants to paint the façade of the
house, he needs to find out the area so that
he would know the amount of paint to buy.
The side of the square is 12 meters and the
height of the triangle is 13 meters. What is
the area of the façade of the house?
Read:

8. 1. . What figures are used in the structure?
Square and triangle
2. To find the total area of the structure, we need to
find the area of each figure.
Solution:
Area of the square = s x s
= 12 x 12
= 144 square meter
Area of the triangle = 1/2bh
= ½ ( 12x13)
= 1 (156)
2
= 78 square meters
Area of façade of the house = area of square + area of
triangle
= 144 + 78
= 222 square meters

9. Discussing new concept.
A. Let’s Watch this video

10. B. Find the area of each shaded region. Assume that all angles
that appear to be right angles are right angles.
1. 4.
8ft 9cm 15cm
7ft 3ft 9cm
12ft. 15cm
2. 5.
4cm 8cm 4m 7m
4cm 2m
12cm 6m
3. 5m 4m 5m 6. 3in
5m 5m
4m 4m 11in
7in
5m 5m
5m 4m 5m

11. Developing Mastery

13. Making Generalization
What is a composite figure?
A figure ( or shape) that can be divided
into more than one of the basic figures.
How do we find the area of composite figure?
1. Identify the figures or shape included in
the
composite figure
2. Find the area of each figure
3. Add/subtract the areas of each figures.

14. Find the area of the following composite
figures.
1
3
2
5
4
Evaluation