This document discusses the area formulas for parallelograms and rhombuses. It defines a parallelogram as a quadrilateral with two pairs of parallel sides, and notes that its area can be calculated as one half of the base times the height. For a rhombus, which has all four sides of equal length, the area formula is one half of the product of the two diagonals. An example problem demonstrates calculating each area.

1. SREE NARAYANA TRAINING COLLEGE
SREEKANDESWARAM
POOCHACKAL
B.Ed 2014 -2015
KERALA UNIVERSITY

2. PAPER IX
THEORETICAL BASIS OF
MATHEMATICS
EDUCATION

3. Submitted by,
Name : JOLLY KURIAKOSE
Option : MATHEMATICS
Reg No : 18014383003

4. Submitted to
GEETHA . P
Lecturer in mathematics

5. STANDARD : VIII
UNIT : AREA OF
QUADRILATERALS
TOPIC : AREA OF
PARALLELOGRAM
AND RHOMBUS

6. PARALLELOGRAM
D C
A a B

7. PROPERTIES OF PARALLELOGRAM
• Two pair of opposite sides are parallel and
equal.
• Diagonals bisect each other.
• Opposite angles are equal.

8. AREA OF PARALLELOGRAM
Area of parallelogram=½ × a × h
where a=Base
h=Height

9. PROBLEM
Find the area of parallelogram whose sides are 8cm
and 5cm?
a=8cm, h=5cm
Area of parallelogram = ½ × a × h
=½ x 8 x 5
=10 cm²

10. D C
A B
d1 d2
RHOMBUS

11. PROPERTIES OF RHOMBUS
• All sides are equql.
• Two pair of opposite sides are parallel.
• Diagonals bisect each other.
• Opposite angles are equal.

12. AREA OF RHOMBUS
Area of rhombus = ½ ×d₁ x d₂
where d₁ and d₂ diagonals of rhombus

13. PROBLEM
Find the area of rhombus whose diagonals
are 8cm and 6cm
d₁ =8 cm d₂= 6cm
Area of rhombus = ½ × d₁ x d₂
= ½ x 8 x 6
=24cm²