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Byju's Answer
Standard VIII
Mathematics
Area of Trapezium by Division into Shapes of Known Area
Find the area...
Question
Find the area of trapezium
A
B
C
D
as given in the figure in which
A
D
C
E
is a rectangle.
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Solution
Given :
BE= 3 cm , EA = 3cm and AD = 8cm
Area of trapezium (ABCD)
=
1
2
×
sum of parallel sides
×
height.
⇒
Area of trapezium ABCD
=
1
2
×
(
A
B
+
C
D
)
×
A
D
⇒
Area of trapezium ABCD
=
1
2
×
(
6
+
3
)
×
8
⇒
A
rea of trapezium ABCD
=
1
2
×
9
×
8
⇒
Area of trapezium ABCD
=
36
m
2
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2
Similar questions
Q.
Find the area of the trapezium ABCD as given in the figure in which ADCE is a rectangle.
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B
C
D
and
∠
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D
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o
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B
=
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=
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P
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9
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Q.
In the given figure, ABCD is a rectangle in which CD = 6 cm, AD = 8 cm. Find the area of parallelogram CDEF.