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Byju's Answer
Standard VII
Mathematics
Addition of Algebraic Expressions
The length of...
Question
The length of a rectangle is
2
(
x
+
6
)
cm, and its width is half of its length. What is its perimeter?
A
6
(
x
−
3
)
cm
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B
6
(
x
−
6
)
cm
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C
3
(
x
+
6
)
cm
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D
(
6
x
+
36
)
cm
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Solution
The correct option is
D
(
6
x
+
36
)
cm
Let length (l)
=
2
(
x
+
6
)
c
m
then width (b)
=
1
2
×
length
=
1
2
×
2
(
x
+
6
)
c
m
=
(
x
+
6
)
c
m
Now, perimeter of the rectangle
=
2
(
l
+
b
)
=
2
[
2
(
x
+
6
)
+
(
x
+
6
)
]
c
m
=
2
(
2
x
+
12
+
x
+
6
)
=
2
(
3
x
+
18
)
=
(
6
x
+
36
)
c
m
Therefore, perimeter of the rectangle is
(
6
x
+
36
)
c
m
.
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