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SSC CGL Tier 2 Exam 21 Sep 2014 Paper
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© examsnet.com
Question : 13
Total: 100
Two sides of a plot measuring 32 m and 24 m and the angle between them is a perfect right angle. The other two sides measure 25 m each and the other three angles are not right angles. The area of the plot in m
2
is
768
534
696.5
684
Validate
Solution:
(4)
A
C
=
√
A
B
2
+
B
C
2
=
√
32
2
+
24
2
=
√
1024
+
576
=
√
1600
=
40
metre
∴ Area of ΔABC
=
1
2
×
B
C
×
A
B
=
1
2
×
24
×
32
=
384
s
q
.
metre
Semi-peri meter of ΔADC (s)
=
25
+
25
+
40
2
=
90
2
=
45
metre
∴ Area of ΔADC
=
√
s
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
=
√
45
(
45
−
25
)
(
45
−
25
)
(
45
−
40
)
=
√
45
×
20
×
20
×
5
=
20
×
15
=
300
sq. metre
Area of the plot
=
384
+
300
=
684
sq.metre
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