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Byju's Answer
Standard IX
Mathematics
Factorisation of Expressions Using Common Factors
If each side ...
Question
If each side of a square is of length
(
x
+
5
)
units, then find its area?
A
x
2
−
25
sq units
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B
x
2
+
25
sq units
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C
x
2
−
10
x
+
25
sq units
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D
x
2
+
10
x
+
25
sq units
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Solution
The correct option is
D
x
2
+
10
x
+
25
sq units
Given : Length of each side of the
square is
x
+
5
units.
Area of a square =
s
i
d
e
×
s
i
d
e
=
(
x
+
5
)
×
(
x
+
5
)
=
(
x
+
5
)
2
Using the identity,
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
,
we get
(
x
+
5
)
2
=
x
2
+
2
×
x
×
5
+
5
2
=
x
2
+
10
x
+
25
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