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1. MATHEMATICS
THIRD QUARTER
CRISALDO H. CORDURA

2. LECTURE 3.6
Finding the Area of a Figure
February 22, 2022

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
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

4. CLASSPOINT
CLASS CODE

5. Click Me 
1 2 3 4 5
6 7 8 9 10

6. 4 Pics in a Word
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TIME

7. 4 Pics in a Word
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DISTANCE

8. 4 Pics in a Word
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SPEED

9. Guessed the Shapes
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Triangle Square
Rectangle
Circle
Semi-circle

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

26. Summary/Reflection
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In summary, what is the
importance of learning
how to get the area of a
space or figure?

27. Enrichment/Enhancement/Assignment
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Look for an object and
by using a ruler get the
measurement and find
its area.