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Byju's Answer
Standard IX
Mathematics
Rectangle
If PQRS is a ...
Question
If PQRS is a rectangle, then the length of each diagonal is______ cm.
122
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Solution
The correct option is
A
122
The diagonals of a rectangle are equal and bisect each other.
∴
S
O
=
Q
O
i
.
e
.
,
7
x
−
2
=
5
x
+
16
⇒
2
x
=
18
⇒
x
=
9
∴
7
x
−
2
=
7
×
9
−
2
=
63
−
2
=
61
c
m
The length of the diagonal SQ
= 2 x SO
= 2 x (
7
x
−
2
)
=
2
×
61
= 122 cm
∴
The length of the diagonals SQ and PR = 122 cm. [diagonals are equal in a rectangle]
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