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CBSE Questions for Class 6 Maths Mensuration Quiz 1 - MCQExams.com
CBSE
Class 6 Maths
Mensuration
Quiz 1
Perimeter of a square whose side measures
4
m is:
Report Question
0%
16
m
0%
16
cm
0%
4
m
0%
12
m
Explanation
Perimeter of a square =
4
×
s
i
d
e
=
4
×
4
=
16
m
Perimeter of square of sides is
Report Question
0%
4
∗
s
i
d
e
0%
s
i
d
e
4
0%
4
+
s
i
d
e
0%
s
i
d
e
×
s
i
d
e
Explanation
since perimeter is defined as sum of all sides
a square has 4 sides
perimeter of square = s+s+s+s
= 4s
If the length and breadth of a rectangle are doubled then its perimeter is
Report Question
0%
tripled
0%
doubled
0%
made half
0%
none of these
Explanation
Perimeter of rectangle
=
2
(
l
+
b
)
Here length
=
l
and breadth
=
b
If the length and breadth of a rectangle are doubled.
then length
=
2
l
and breadth
=
2
b
∴
perimeter of new rectangle would be
2
(
2
l
+
2
b
)
=
4
(
l
+
b
)
=
2.2
(
l
+
b
)
∴
if the length and breadth of a rectangle are doubled then its perimeter is also doubled.
Option B is correct.
Perimeter of a square whose side measures
4
m
is
Report Question
0%
16
m
0%
16
c
m
0%
4
m
0%
12
m
Explanation
Perimeter of the square side
=
4
∗
s
i
d
e
o
f
s
q
u
a
r
e
Hence, perimeter of this square of side
4
m
=
4
×
4
=
16
m
Perimeter of a square
728
cm. Then the measure of its side is :
Report Question
0%
187
cm
0%
182
cm
0%
128
cm
0%
185
cm
Explanation
Perimeter of square
=
4
×
s
i
d
e
∴
4
×
s
i
d
e
=
728
s
i
d
e
=
728
4
=
182
m
Thus the measure of the side of the square is
182
cm.
The perimeter of a square field whose side is
4
m
is ........... m.
Report Question
0%
8
0%
16
0%
12
0%
10
Explanation
Perimeter of a square is =
4
×
s
i
d
e
Hence Perimeter of square =
4
×
4
=
16
m
The perimeter of a rectangle whose length
(
l
)
and breadth
(
b
)
are given, is
Report Question
0%
2
(
l
+
b
)
0%
2
l
+
b
0%
2
l
+
3
b
0%
None of these
Explanation
Perimeter of a rectangle is the sum of all its four sides.
Since, two sides measure
l
and the other two sides measure
b
, Perimeter of a rectangle whose length
(
l
)
and breadth
(
b
)
are given, is
l
+
b
+
l
+
b
=
2
(
l
+
b
)
Perimeter of a square is?
Where
s
is the side of the square.
Report Question
0%
4
s
0%
s
4
0%
4
+
s
0%
s
×
s
Explanation
Perimeter of square = 4s
The perimeter of the rectangle whose length =
25
cm, breadth =
15
cm is ............ cm.
Report Question
0%
40
0%
80
0%
50
0%
81
Explanation
Perimeter of a rectangle
=
2
×
(
l
e
n
g
t
h
+
b
r
e
a
d
t
h
)
Hence perimeter
=
2
×
(
25
+
15
)
=
80
c
m
Perimeter of a square garden is
444
m. Then its side measures
Report Question
0%
101
m
0%
111
cm
0%
111
m
0%
101
cm
Explanation
Given, perimeter of a square garden is
444
m.
So, perimeter
=
444
=
4
×
s
i
d
e
s
i
d
e
=
444
4
=
111
m
Then sides of a garden measures
111
m.
What is formula of perimeter of square ?
Report Question
0%
4
×
s
i
d
e
2
0%
2
×
side
0%
2
×
s
i
d
e
2
0%
4
×
side
Explanation
if side of a square is
a
then perimeter of square is
=
a
+
a
+
a
+
a
=
4
a
Hence option
′
D
′
is the answer.
The distance covered by a farmer around a field of
120
m length and
80
m width is ........... m.
Report Question
0%
200
0%
300
0%
400
0%
500
Explanation
Distance covered by the farmer = perimeter of the filed =
2
×
(
l
e
n
g
t
h
+
b
r
e
a
d
t
h
)
=
2
×
(
120
+
80
)
=
2
×
200
=
400
m
The perimeter of a square is
144
m
, then the side of the square is …..
Report Question
0%
34
m
0%
36
m
0%
44
m
0%
38
m
Explanation
Perimeter of square
=
4
×
s
i
d
e
=
144
Hence,
s
i
d
e
=
144
÷
4
=
36
m
The formula for the perimeter of a rectangle is:
Report Question
0%
(
l
+
b
)
0%
2
(
l
+
b
)
0%
2
(
l
×
b
)
0%
(
l
×
b
)
Explanation
Here,
A
B
C
D
is a rectangle.
Let the length and breadth of the rectangle be
l
and
b
respectively.
∴
Perimeter of rectangle
A
B
C
D
=
A
B
+
B
C
+
C
D
+
D
A
=
l
+
b
+
l
+
b
=
2
l
+
2
b
=
2
(
l
+
b
)
∴
The formula for the perimeter of a rectangle is
2
(
l
+
b
)
.
Perimeter of square 728 cm Then the measure of its side is
Report Question
0%
81
cm
0%
182
m
0%
128
cm
0%
182
cm
Explanation
We know that,
P
e
r
i
=
4
∗
s
i
d
e
4
×
s
i
d
e
=
728
s
i
d
e
=
728
4
=
182
m
If the length of a rectangle is
5
cm and the breadth of the rectangle is
12
cm then find the area of the rectangle.
Report Question
0%
25
c
m
2
0%
60
c
m
2
0%
31
c
m
2
0%
12
c
m
2
Explanation
Given: The length of the rectangle is
5
c
m
and breadth is
12
c
m
.
Then area of rectangle
=
l
e
n
g
t
h
×
b
r
e
a
d
t
h
=
5
×
12
=
60
c
m
2
If the side of a square park is
5
m, then its perimeter is ............
Report Question
0%
10
m
0%
25
m
0%
20
m
0%
15
m
Explanation
Perimeter of the square park =
4
×
s
i
d
e
=
4
∗
5
=
20
Perimeter of the square =
20
m
Perimeter of a rectangle of length
l
and breadth
b
is__
Report Question
0%
2
l
+
b
0%
l
×
b
0%
2
(
l
+
b
)
0%
2
(
l
−
b
)
Explanation
Given the length of the rectangle
=
l
the breadth
of the rectangle
=
b
perimeter of the rectangle
=
sum of length of all sides of the rectangle
=
l
+
b
+
l
+
b
=
2
l
+
2
b
=
2
(
l
+
b
)
∴
perimeter of the rectangle
=
2
(
l
+
b
)
Perimeter of a square whose side measures 4 m is
Report Question
0%
16 m
0%
16 cm
0%
4 m
0%
12 m
Explanation
We know,
Side of square
=
a
=
4
m
Perimeter of a square
=
4
×
a
=
4
×
4
m
=
16
m
The distance covered by a farmer around a rectangular field of 120 m length and 80 m width is _____ m.
Report Question
0%
200
0%
300
0%
400
0%
500
Explanation
We know that the distance covered would be equal to the perimeter of the rectangle.
∴
D
i
s
t
a
n
c
e
=
2
×
(
l
+
b
)
=
2
×
(
120
+
80
)
=
400
m
If the side of a square park is 5 m then its perimeter is______
Report Question
0%
10 m
0%
25 m
0%
20 m
0%
15 m
Explanation
We know,
Perimeter
=
4
∗
s
i
d
e
=
4
∗
5
=
20
m
Perimeter of square garden is 444 sq m. Then its side measures:
Report Question
0%
101 m
0%
111 cm
0%
111 m
0%
101 cm
Explanation
Perimeter of square garden
=
444
=
4
×
s
i
d
e
s
i
d
e
=
444
4
=
111
m
Area of square whose side measures 13 m is
Report Question
0%
9 m
0%
9 sq m
0%
169 sq m
0%
169 m
Explanation
We know,
Area of a square =
S
i
d
e
2
= 13
×
13
=
169 sq m
Area of a rectangle whose length is
13
m and breadth is
12
m is
Report Question
0%
156
m
0%
156
cm
0%
156
sq m
0%
none
Explanation
Here,
A
B
C
D
is a rectangle.
A
B
,
C
D
are length of a rectangle and
A
D
,
B
C
breadth of a rectangle.
∴
A
B
=
C
D
=
13
m
and
A
D
=
B
C
=
12
m
⇒
Length of a rectangle
(
l
)
=
13
m
⇒
Breadth of a rectangle
(
b
)
=
12
m
⇒
Area of rectangle
A
B
C
D
=
l
×
b
=
13
m
×
12
m
=
156
m
2
A rectangular playground which is
250
m
long and
20
m
broad is to be fenced with wire.How much wire needed?
Report Question
0%
270
m
0%
230
m
0%
540
m
0%
none
Explanation
Wire needed would be perimeter of the playground:
We know,
Perimeter of rectangle:
2
(
l
+
b
)
=
250
+
20
+
250
+
20
=
540
m
A postage stamp is
12
m
m
in breadth and
20
m
m
in length. Find the area of stamp in
c
m
2
Report Question
0%
0.24
0%
240
0%
24
0%
2.4
Explanation
As we know that,
1
c
m
=
10
m
m
So,
1
m
m
=
0.1
c
m
Given:-
Length
=
20
m
m
=
20
×
0.1
c
m
=
2
c
m
Breadth
=
12
m
m
=
12
×
0.1
c
m
=
1.2
c
m
Area of stamp
=
Length
×
Breadth
=
2
×
1.2
=
2.4
c
m
2
Hence, option
D
is correct.
Fill in the blanks:
Perimeter of the square of side
4
cm = _____ cm
Report Question
0%
16
0%
12
0%
18
0%
8
Explanation
Given, Side of a square =
4
cm
Perimeter of a square
=
4
×
s
i
d
e
So, perimeter of the square
=
4
×
4
c
m
=
16
c
m
Hence, the perimeter of the square is
16
c
m
An athelete takes
5
rounds of a rectangular park,
50
m long and
250
m wide. Then the total distance covered by him is ______ .
Report Question
0%
150
m
0%
75
m
0%
1000
m
0%
3000
m
Explanation
Given, Breadth of the rectangular park
b
=
250
m
and Length
l
=
50
m
Perimeter of the park
=
2
(
b
+
l
)
=
2
×
(
250
+
50
)
=
2
×
300
=
600
m
Given: Athlete take
5
rounds around the rectangular park
So, the total distance covered by the athlete
=
5
×
600
m
=
3000
m
How many paving stones each measuring
2.5
m
×
2
m
are required to pave a rectangular courtyard
30
m
long and
16.5
m
wide?
Report Question
0%
105
0%
89
0%
99
0%
84
Explanation
Area of paving stones
=
2.5
×
2
=
5
m
2
Area of courtyard
=
30
×
16.5
=
495
m
2
Now,
Number of paving stones required
=
area of courtyard
÷
area of paving stone
=
495
÷
5
=
99
paving stones
So option C is the correct answer.
The figure is made up of
2
rectangles
What is the perimeter of the big rectangle?
Report Question
0%
11
r
+
12
0%
22
r
+
24
0%
11
r
0%
11
r
+
6
Explanation
⇒
Length of a big rectangle
(
l
)
=
(
7
r
+
3
+
3
)
c
m
=
(
7
r
+
6
)
c
m
.
⇒
Breadth of a big rectangle
(
b
)
=
(
4
r
+
3
+
3
)
c
m
=
(
4
r
+
6
)
c
m
⇒
Perimeter of big rectangle
=
2
(
l
+
b
)
c
m
=
2
[
(
7
r
+
6
)
+
(
4
r
+
6
)
]
c
m
=
2
[
11
r
+
12
]
c
m
=
22
r
+
24
c
m
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