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Mensuration Practice Test 6
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© examsnet.com
Question : 37
Total: 40
Two adjacent sides of a parallelogram are 13 m and 14 m and its diagonal 15 m. Find the area of the parallelogram.
130 sq. m
124 sq. m
168 sq. m
162 sq. m
Validate
Solution:
Sides of triangle ABC
a = 14, b = 13, c = 15
s =
a
+
b
+
c
2
=
14
+
13
+
15
2
=
42
2
= 21
Area of triangle ABC =
√
s
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
=
√
2
(
21
−
14
)
(
21
−
13
)
(
21
−
15
)
=
√
21
×
7
×
8
×
6
=
√
3
×
7
×
7
×
2
×
2
×
2
×
2
×
3
= 2 × 2 × 3 × 7 = 84 sq. m
Area of the parallelogram = 2 × 84 = 168 sq. m
© examsnet.com
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