3. Content Standard:
Demonstrates understanding of rate and speed, and of area and surface
area of plane and solid/space figures.
Performance Standard:
Apply knowledge of speed, area, and surface area of plane and solid/space
figures in mathematical problems and real-life situations.
Learning Competency:
Finds the area of composite figures formed by any two or more of the
following: triangle, square, rectangle, circle, and semi-circle.
Code: 6ME-IIIh-89
LEARNING OBJECTIVES
10. Analyze the figure and answer the
question that follows.
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What do you think is the total area of
the quadrilateral?
What do you think is the total area of
the triangle?
What is the total area of the two
figures if combined?
11. Analyze the figure and answer the question that
follows.
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Area of the Square
A = 𝒔𝟐
= (𝟏𝟎 𝒄𝒎)𝟐
A = 100 𝒄𝒎𝟐
Area of the Triangle
A =
𝟏
𝟐
x b x h
=
𝟏
𝟐
x 10 cm x 8 cm
A = 40 𝒎𝟐
Area of the Shaded Figure
𝑨𝑭 = 𝑨𝟏 + 𝑨𝟐
= 100 𝒄𝒎𝟐
- 40 𝒄𝒎𝟐
𝑨𝑭= 140 𝒄𝒎𝟐
12. Find the area of the Square.
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Area of the Square
A = S X S
= 12 m x 12 m
A = 144 𝒎𝟐
13. Find the area of the Rectangle.
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Area of the Rectangle
A = l x w
= 2 cm x 1 cm
A = 2 𝒄𝒎𝟐
Length = 2 cm
Width = 1 cm
14. Find the area of the Triangle.
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Area of the Triangle
A =
𝟏
𝟐
x b x h
=
𝟏
𝟐
x 2 m x 3 m
A = 3 𝒎𝟐
3 m
2 m
15. Find the area of the Circle.
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Area of the Circle
A = π x r x r
= 3.14 x 2 m x 2 m
A = 12.56 𝒎𝟐
r =2 m
16. What is the formula for finding the Area of a Square?
Rectangle? Triangle? Circle?
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A. A = S X S
B. A = l x w
C. A = (l X 2) + (w x 2)
D. A =
𝟏
𝟐
x b x h
E. A = π x r x r
17. What does the symbol “π” represent?
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A. radius
B. circle
C. pi
D. Semi-circle
18. What are the similarities and differences of
square and rectangle?
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Similarities:
1. They are both quadrilaterals.
2. They have 4 right angles
3. 2 opposite sides are parallel.
Differences:
1. Square have 4 equal sides
2. Rectangle have 2 equal sides
19. What is your sole observation in putting a unit on
the result after finding the area?
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For writing the unit of an “Area” it must always
have an exponent of 2.
Example: 𝒎𝟐, c𝒎𝟐, 𝒇𝒕𝟐, 𝒊𝒏𝟐
Or you can also write it in word like;
Square meter, Square Centimeter, Square feet,
Square inches
20. Integration
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1. Social and Cultural Integration:
Why is it important to learn how to find the
area?
How can this help you in determining the area
of our house, lot, or cultural heritage?
2. Integration (Subject-Orientation):
• In what subject you can use in finding the area
of a figure?
21. Let’s Discuss!
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Area of the Rectangle
𝑨𝟏 = l x w
= 12 ft x 7 ft
𝑨𝟏= 84 𝒇𝒕𝟐
Area of the Rectangle
𝑨𝟐 = l x w
= 8 ft x 3 ft.
𝑨𝟐= 24 𝒇𝒕𝟐
Area of the Shaded Figure
𝑨𝑭 = 𝑨𝟏 - 𝑨𝟐
= 84 𝒇𝒕𝟐 - 24 𝒇𝒕𝟐
𝑨𝑭= 60 𝒇𝒕𝟐
60 𝒇𝒕𝟐
22. Let’s Discuss!
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Area of the Circle
A = π x r x r
= 3.14 x 7 in x 7 in
A = 153.86 𝒊𝒏𝟐
Area of the Rectangle
A = l x w
= 11 in x 3 in
A = 33 𝒊𝒏𝟐
Area of the Shaded Figure
𝑨𝑭 = 𝑨𝟏 - 𝑨𝟐
= 153.86 𝒊𝒏𝟐
- 33 𝒊𝒏𝟐
𝑨𝑭= 120.86 𝒊𝒏𝟐
120.86 𝒊𝒏𝟐
23. Let’s Discuss!
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Area of the Triangle
A =
𝟏
𝟐
x b x h
=
𝟏
𝟐
x 6 m x 7 m
A = 21 𝒎𝟐
Area of the Rectangle
A = l x w
= 4 m x 2 m
A = 8 𝒎𝟐
Area of the Shaded Figure
𝑨𝑭 = 𝑨𝟏 - 𝑨𝟐
= 21 𝒎𝟐
- 8 𝒎𝟐
𝑨𝑭= 13 𝒎𝟐
13 𝒎𝟐
24. Let’s Practice!
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Area of the Rectangle
𝑨𝟏 = l x w
= 20 cm x 15 cm
𝑨𝟏= 300 𝒄𝒎𝟐
Area of the 2 Squares
𝑨𝟐 = 2s x 2s
= 2(2cm) x 2(2 cm)
= 4 cm x 4 cm
𝑨𝟐= 16 𝒄𝒎𝟐
Total Area of the Figure
𝑨𝑭 = 𝑨𝟏 + 𝑨𝟐
= 300 𝒄𝒎𝟐
+ 16 𝒄𝒎𝟐
𝑨𝑭= 316 𝒄𝒎𝟐
316 𝒄𝒎𝟐
25. Let’s Try!
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Area of the Circle
𝑨𝟏 = π x r x r
= 3.14 x 4 in x 4 in
𝑨𝟏 = 50.24 𝒊𝒏𝟐
Area of the Circle
𝑨𝟐 = π x r x r
= 3.14 x 2 in x 2 in
𝑨𝟐 = 12.56 𝒊𝒏𝟐
Total Area of the Shaded Region
𝑨𝑭 = 𝑨𝟏 + 𝑨𝟐
= 50.24 𝒊𝒏𝟐
+ 12.56 𝒊𝒏𝟐
𝑨𝑭= 37.68 𝒊𝒏𝟐
