Explains about the concept ,formula,and solving problems on area of a square and parallelogram.The development of a formula is also explained with the help of examples for both triangle and parallelogram.The power point is made for VIIth standard s.s.c board text book.
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Area of a triangle and parallelogram
1. Area of a triangle
and parallelogram
STANDARD : 7TH
2. • The area of any shape is a measure of the 2 dimensional
space that it covers.
• Area is measured in squares – e.g. square cm, square meters
and square km.
3.
4. What is the area
L=length H=height
of this parallelogram?
W=width
5. PARALLELOGRAM
What is the area
L=length H=height
of this parallelogram?
W=width
CUT HERE
6. What is the area
of this parallelogram?
Move and paste Here
B= base
H=height
This Is ( like) a rectangle obtained from Parallelogram
Area of Rectangle = Area of parallelogram
7. Area of Rectangle= Base x Height
(perpendicular height H)
B= base
H=height
L=length
B = base
H=height
8. Find the area of parallelogram whose base is 30 cm and
height is 20cm
Suppose ABCD is a parallelogram
Given : l ( BC ) = 30 cm , l ( AE ) = 20 cm
To find out : A ( )ABCD
Area of Parallelogram= Base x
Height
A
B
D
20 cm
E C
A ( )ABCD = l ( BC ) × l ( AE ) 30 cm
= 30cm× 20cm
= 600 sq cm
Solution :
The area of parallelogram is 600 sq cm
9. If the area of parallelogram is 250 sq cm and its height is
25 cm , what is the length of its base.
Suppose DEFG is a parallelogram
Given : l ( DH ) = 25 cm , A ( DEFG ) = 250 sq cm
To find out : l ( EF ) =?
SOLUTION :
Area of Parallelogram= Base x Height
A ( DEFG ) = l ( EF ) × l ( DH)
250 cmxcm = l ( EF) x 25 cm
250 Xcm Xcm = l ( EF)
25 xcm
10 cm = l ( EF)
The length of its base is 10 cm
D
E F
G
H
11. Evaluation:
The area of parallelogram ABCD is 300 sqcm . The length of its base
is 15 cm what will be the height of parallelogram.
If the length of base of parallelogram is 15 cm and its height is 30 cm.
find o the area of parallelogram.
The area of parallelogram ABCD is 450 sqcm . The length of its
height is 9 cm what will be the base of parallelogram.
16. The area of the
L=length H=height
triangle is ½ the
B = Base
Area of triangle= ½ (Base x Height)
INVERT HERE
area of this
parallelogram
17. 8cm
10cm
6cm
7cm
Area of triangle =½ base X height
= ½ x 10 cm x 8cm
= ½ x 80 sq cm
=40 sq cm
Area of triangle =½ base X height
= ½ x 6cm x 7cm
= ½x42sqcm
=21 sq cm
EXAMPLES
18. If the area of triangle is 90 sq m and its base
is 20 m , what is the length of its height.
J
k L M
Suppose JKM is a triangle
Given : A( JKM ) = 90 sq m , l ( KM ) = 20 m
To find out : l ( JL )
Solution :
Area of triangle =½ X base X height
90sqm = ½ X l ( KM )X l
The length of height of triangle is 9m
(JL)
90sqm = ½ X 20 m X l (JL)
90sqm = 10m X l (JL)
9m = l (JL)
19. The area of triangle GEF is 100 sqcm . The length of its
base is 25 cm. what will be the height of triangle.
If the length of base of triangle is 12 cm and its height is
27 cm. find out the area of triangle.
The area of triangle RPS is 120 sqcm . The length of its
height is 5 cm what will be the base of triangle.