This document defines area and perimeter, and provides formulas to calculate the area of different shapes. It defines area as the space occupied by a flat shape and explains that area is measured in square units. Formulas are given for calculating the area of a square, rectangle, parallelogram, triangle, and trapezoid using measurements of sides and other key dimensions. The key difference between perimeter and area is also explained, with perimeter being the distance around a figure and area being the space inside measured in square units.

1. AREA
 Define area.
 Identify the different formulas of the different
shapes
 Differentiate perimeter and area.

2. AREA
 In geometry, area can be defined as
the space occupied by a
flat shape or the surface of an object.
 The area of a figure is the number of
unit squares that cover the surface of
a closed figure.
 Area is measured in square units
such as square centimteres, square
feet, square inches, etc.

3. Square
Square
Area = s x s
s = length of side
s

4. 5 cm
A= s x s
= 5cm x 5cm
= 25 cm2
s

5. Rectangle
Rectangle
Area = l × w
w = width
h = height
L
w

6. 4 cm
A= L x w
= 7cm x 4cm
= 28 cm2
7 cm
L
w

7. Parallelogram
Parallelogram
Area = b × h
b = base
h = vertical height

8. 9 cm
5 cm
A= b x h
= 9cm x 5cm
= 45 cm2

9. Triangle
Triangle
Area = ½ × b × h
b = base
h = vertical height

10. 4 cm
8 cm
A= ½ x b x h
= ½ x 4cm x 8cm
= 32/ 2 cm2
= 16 cm2

11. Trapezoid
Trapezoid
Area = ½(b1+b2) × h
h = vertical height
b1 and b2 = the 2 bases
b1
b2

12. b1
b2
3 cm
5 cm
2 cm
A= ½ x (b1 + b2) x h
= ½ x (3cm + 5 cm) x 2cm
= ½ x (8 cm) x 2cm
= 16 cm2 / 2
= 8 cm2

13. What is the difference between
perimeter and area?
 Perimeter- distance around a figure
 Area- space inside a figure and being
measured in square units.

14. What is formula of the following?
 Square
 Rectangle
 Parallelogram
 Triangle
 Trapezoid