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Mathematics
Problem
Quadrilateral ABCD has sides
A
B
=
9
cm
,
B
C
=
13
cm
,
C
D
=
14
cm
AB = 9\,\text{cm},\ BC = 13\,\text{cm},\ CD = 14\,\text{cm}
A
B
=
9
cm
,
B
C
=
13
cm
,
C
D
=
14
cm
and
D
A
=
12
cm
DA = 12\,\text{cm}
D
A
=
12
cm
. Its diagonal BD measures
x
cm
x\,\text{cm}
x
cm
. If the area of the quadrilateral is
108
cm
2
108\,\text{cm}^2
108
cm
2
, find the value of
x
x
x
correct to one decimal place.
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