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Standard VIII
Mathematics
Question
Given the perimeter of
rhombus is 40 cm and one diagonal is 12 cm .
The length of second diagonal is
19 cm
18 cm
17 cm
16 cm
A
19 cm
B
16 cm
C
18 cm
D
17 cm
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Solution
Verified by Toppr
The correct option is
D
16 cm
Given the perimeter of
rhombus is 40 cm and one diagonal is 12 cm
We know that perimeter of
rhombus=
2
√
p
2
+
q
2
where -p and q are diagonal of
rhombus
∴
40
=
2
√
(
12
)
2
+
q
2
⇒
20
=
√
144
+
q
2
⇒
400
=
144
+
q
2
⇒
q
2
=
400
−
144
=
256
⇒
q
=
16
cm
Then length of second diagonal is 16 cm
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