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Byju's Answer
Standard VIII
Mathematics
Area of Trapezium by Division into Shapes of Known Area
Construct tra...
Question
Construct trapezium PQRS with the following measurement. Find also its area.
¯
¯¯¯¯¯¯
¯
P
Q
is parallel to
¯
¯¯¯¯¯¯
¯
S
R
, PQ = 7.5 cm, PS = 6.5 cm,
∠
QPS =
85
o
and
∠
PQR =
45
o
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Solution
ar PQRS =
1
2
(
P
Q
+
S
Q
)
×
Q
T
=
1
2
(
7.5
+
0.5
)
×
6.5
=
26
m
2
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0
Similar questions
Q.
Construct a trapezium PQRS in which
¯
¯¯¯¯¯¯
¯
P
Q
is parallel to
¯
¯¯¯¯¯¯
¯
S
R
, PQ = 8 cm
∠
PQR =
70
o
, QR = 6 cm and PS = 6 cm. Calculate its area.
Q.
Find the area of a quadrilateral
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Q.
Construct a quadrilateral PQRS with PQ = 4 cm, QR = 6 cm, PR = 7 cm, PS = 5 cm and
∠
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o
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Q.
Construct a cyclic quadrilateral
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Q.
PQRS is a trapezium such that PQ || RS and PQ = 10 cm, QR = 5 cm, RS = 8 cm and PS = 5 cm, then area of PQRS is
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