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Question

A theatre, in the shape of a quadrilateral ABCD, has  C=90, AB=9 m,BC=12 m,CD=5 m and AD=8 m. If the total area of theatre is 90 m2, then what will be the area of BAD ?


Your Answer
A
50 m2
Your Answer
B
55 m2
Correct Answer
C
60 m2
Your Answer
D
65 m2

Solution

The correct option is C 60 m2
ABCD is the theatre as shown in the figure.
DBC is right angled at C.
 Area of DBC=12×base×height
=12×12×5
=30 m2
Now,
Area of theatre=area of DBC+area of BAD
90=30+area of BAD
area of BAD=60 m2

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