TS 6th Class Maths Bits Chapter 10 Perimeter and Area

Solving these TS 6th Class Maths Bits with Answers 10th Lesson Perimeter and Area Bits for 10th Class will help students to build their problem-solving skills.

TS 6th Class Maths Bits Chapter 10 Perimeter and Area

Choose the correct answer and write it in the brackets.

Question 1.
The perimeter of a square Is ‘m’. Then its side is
A) m²
B) \(\frac{m}{2}\)
C) 4m
D) \(\frac{m}{4}\)
Answer:
D) \(\frac{m}{4}\)

Question 2.
The side of a square is 3x. Then its perimeter is
A) 6x
B) 9x
C) 12x
D) 9x²
Answer:
C) 12x

Question 3.
In the below figure, if AB = 20 m and BC = 12 m, then its perimeter is

A) 240 m²
B) 64 m
C) 32 m
D) 64 m²
Answer:
B) 64 m

Question 4.
In the below figure, If BC = 6.5 m, then AC + BC =

A) 13 m
B) 19.5 m
C) 26 m
D) 65 m
Answer:
A) 13 m

Question 5.
In the below figure, If PQ = 18 cm, then its perimeter is

A) 72 cm
B) 36 cm
C) 54 cm
D) 54 cm²
Answer:
C) 54 cm

Question 6.
The perimeter of the triangle with sides 3 cm, 4 cm and 5 cm is
A) 7 cm
B) 9 cm
C) 8 cm
D) 12 cm
Answer:
D) 12 cm

Question 7.
The side of a square is 12.5 cm. Then its perimeter is
A) 25 cm
B) 50 cm
C) 125 cm
D) 37.5 cm
Answer:
B) 50 cm

Question 8.
The perimter of a square is 100 cm. Then its side is
A) 25 cm
B) 50 cm
C) 400 cm
D) 200 cm
Answer:
A) 25 cm

Question 9.
A piece of wire of length 60 cm is used to form a regular hexagon. Then the length of each of its sides is
A) 15 cm
B) 20 cm
C) 10 cm
D) 12 cm
Answer:
C) 10 cm

Question 10.
A piece of wire of length 45 cm is used to form a regular pentagon. Then the length of each of its sides is
A) 15 cm
B) 9 cm
C) 5 cm
D) 4.5 cm
Answer:
B) 9 cm

Question 11.
A piece of wire of length 40 cm is used to form a square. Then the length of the side of the square is
A) 10 cm
B) 8 cm
C) 4 cm
D) 5 cm
Answer:
A) 10 cm

Question 12.
A piece of wire of length 18 cm is used to form an equilateral triangle. Then the length of the side of the triangle so formed is
A) 9 cm
B) 4.5 cm
C) 6 cm
D) 3 cm
Answer:
C) 6 cm

Question 13.
The perimeter of a regular pentagon of side 7 cm is
A) 28 cm
B) 35 cm
C) 42 cm
D) 21 cm
Answer:
B) 35 cm

Question 14.
The perimeter of a regular hexagon of side 8 cm is
A) 40 cm
B) 32 cm
C) 48 cm
D) 56 cm
Answer:
C) 48 cm

Question 15.
The perimeter of a regular pentagon is 13 cm. Then the length of its side is
A) 2.6 cm
B) 6.5 cm
C) 4.33 cm
D) 3.25 cm
Answer:
A) 2.6 cm

Question 16.
What is the perimeter of a square whose side is ‘a’ ?
A) 4a
B) 2a
C) a²
D) 6a²
Answer:
A) 4a

Question 17.
What is the area of a square, whose side is ‘a’ units ?
A) \(\frac{a^2}{2}\)
B) 6a²
C) 4a²
D) a²
Answer:
D) a²

Question 18.
What is the perimeter of a square, whose side is 27cm is
A) 54
B) 108
C) 729
D) 162
Answer:
B) 108

Question 19.
What is the area of a square, whose side is 2.5 cms (in sq cms) ?
A) 7.25
B) 5.75
C) 6.25
D) 5.25
Answer:
C) 6.25

Question 20.
What is the perimeter of the given figure ?

A) 11x + y
B) 10x + y
C) 10x + 3y
D) 11x + 2y
Answer:
D) 11x + 2y

Question 21.
What is the perimeter of the given figure ?`

A) 57
B) 67
C) 68
D) 76
Answer:
C) 68

Question 22.
The perimeter of the given figure is

A) 34 cm
B) 35cm
C) 33 cm
D) 32 cm
Answer:
A) 34 cm

Question 23.
The perimeter of a rectangle whose length & breadth are l, b is ?
A) l + b
B) 2 (l + b)
C) l × b
D) None
Answer:
B) 2 (l + b)

Question 24.
Area of rectangle is _______ (sq. units)
A) lb
B) \(\frac{l}{b}\)
C) \(\frac{b}{l}\)
D) l²b²
Answer:
A) lb

Question 25.
Perimeter of a rectangle whose l = 3.5 cm, b = 2.5 cm is _______
A) 24 cm
B) 6 cm
C) 12 cm
D) 12.5cm
Answer:
C) 12 cm

Question 26.
Perimeter of the given figure is

A) 4x – 2y
B) 4x + 2y
C) 3x
D) 4x
Answer:
D) 4x

Question 27.
Perimeter of the given figure obtained by

A) AB + BC + CD + DE + AE
B) AB + BC + CD + DE
C) AC + BC + CD
D) AC + BD + AD
Answer:
A) AB + BC + CD + DE + AE

Question 28.
Perimeter of a regular 5 sided polygon is _______
A) 4 × length of the side
B) 5 × length of the side
C) 6 × length of the side
D) 10 × length of the side
Answer:
B) 5 × length of the side

Question 29.
Area of a rectangle whose l = 30 cm, b = 20 cm is _______ sq.cms.
A) 600
B) 240
C) 60
D) 100
Answer:
A) 600

Question 30.
Area of a rectangle whose l = x + y, b = x – y is _______ sq.units.
A) 2x
B) x² – y²
C) 2y
D) x² + y²
Answer:
B) x² – y²

Question 31.
The perimeter of a regular Hexagon of side 7cm is _______ cms.
A) 56
B) 49
C) 42
D) 35
Answer:
C) 42

Question 32.
What is the side of an equilateral triaiigle, whose perimeter is 18 cm?
A) 9 cm
B) 3 cm
C) 5 cm
D) 6 cm
Answer:
D) 6 cm

Question 33.
Find the cost of fencing a square field of side 110 m at the rate of ₹ 20 per mt is
A) ₹ 8800
B) ₹ 880
C) ₹ 8808
D) ₹ 4400
Answer:
A) ₹ 8800

Question 34.
A piece of wire 60 cm long is used to form a regular pentagon then what is its side ……….. cm.
A) 10
B) 6
C) 12
D) 15
Answer:
C) 12

Question 35.
Area of a square whose side is 27 cm is sq.cms
A) 829
B) 729
C) 929
D) 749
Answer:
B) 729

Question 36.
Number of tiles with dimensions 12 cm, 5 cm will be needed to fit a region whose length and breadth are 144 cm and 100 cm respectively
A) 120
B) 240
C) 280
D) 360
Answer:
B) 240

Question 37.
Area of rectangular frame is 1125 sq cm. If its length is 25cm, then its breadth is _______ cuis.
A) 49
B) 35
C) 55
D) 45
Answer:
D) 45

Question 38.
Area of a rectangular field is 800 sq mts. If its length is twice of its breadth then find its length and breadth is
= _______
A) 40, 20
B) 20, 40
C) 30, 50
D) 30, 60
Answer:
A) 40, 20

Question 39.
Around a rectangular park of sides 110 mts and 80 mts a wire has to be put. The costof thewire Is l5permt.
What is the total cost of the wire?
A) ₹ 5900
B) ₹ 5700
C) ₹ 5600
D) ₹ 5500
Answer:
B) ₹ 5700

Question 40.

A) 22 cm
B) 28 cm
C) 20 cm
D) 18 cm
Answer:
B) 28 cm

Question 41.

A) 56 cm
B) 49 cm
C) 42 cm
D) 63 cm
Answer:
A) 56 cm

Question 42.
Estimate the perimeters of the following figures.

A) 1 – d, 2 – e, 3 – a, 4 – b
B) 1 – d, 2 – c, 3 – a, 4 – b
C) 1 – a, 2 – b, 3 – c, 4 – e
D) 1 – a, 2 – b, 3 – e, 4 – c
Answer:
A) 1 – d, 2 – e, 3 – a, 4 – b

Question 43.
The change in the area of a square if its side is doubled ?
A) 2 times
B) 3 times
C) 4 times
D) 8 times
Answer:
C) 4 times

Question 44.
If length is doubled, breadth is tripled then the area of a rectangle is
A) 3 times
B) 6 times
C) 12 times
D) remain same
Answer:
B) 6 times

Question 45.
Which of the following is true ?
A) Area of a rectangle = l × b
B) Perimeter of an equilateral triangle = 3 × side
C) Perimeter of a square = 4 × side
D) All the above
Answer:
D) All the above

Question 46.
If l : b = 2 : 1 of a rectangle, its area is 72 sq cms, then its perimeter = ?
A) 12
B) 54
C) 18
D) 36
Answer:
D) 36

Question 47.
Which of the following is not true about its perimeter ?
A) Perimeter of an equilateral triangle is 3 × side
B) Perimeter of a pentagon is 5 × side
C) Perimeter of a Hexagon is 7 × side
D) Perimeter of a square is 4 × side
Answer:
C) Perimeter of a Hexagon is 7 × side

Question 48.
Which of the following is not true about their area ?
A) Area of a square = (side)sup>2
B) Area of a rectangle = l × b
C) Area of an equilateral triangle = 3 × side
D) None
Answer:
C) Area of an equilateral triangle = 3 × side

Question 49.
Number of different rectangles with integral measurements can be taken with perimeter as 24 cm
A) 6
B) 5
C) 4
D) 7
Answer:
A) 6

Question 50.
Statement (P) : Length and breadth are doubled then its area will become 4 times the original one.
Statement (Q) : The length is doubled and breadth is halved then remains the area of a rectangle will be same.
A) Both P, Q are true
B) P – is true and Q – is false
C) P – is false, Q – is true
D) Both P and Q are false
Answer:
A) Both P, Q are true

Question 51.
Statement (L) : The side of a square is doubled then its area will become 8 times the original one.
Statement (M) : The side of a square is halved then its area will become half of its original one.
A) Both ‘L’ and ‘M’ are true
B) L – is true & M – is false
C) L – is false & M – is true
D) Both L and M are false
Answer:
D) Both L and M are false

Question 52.
Statement (I): Figures in which all sides and angles are equal are called regular closed figures.
Statement (II) : The amount of surface enclosed by a closed figure is called its area.
Statement (III): The area of a square is less than the area of any other rectangle having the same perimeter.
A) only II and III are true, I is false
B) only I and II are true, III is false
C) I – is true,, II – is false, III – is true
D) I, II and III are false
Answer:
B) only I and II are true, III is false.

Question 53.
Statement (X) : Area of a adjacent rectangle is (x² – 1) sq units

Statement (Y): Perimeter of a square is 49 sq cms.

A) X, Y are true
B) X is true, Y is false
C) X is false Y is true
D) X, Y are false
Answer:
B) X is true, Y is false

Question 54.
Formula for area of a square (A) = _______?
A) s²
B) 4s
C) l × b
D) 3s
Answer:
A) s²

Question 55.
Formula for area of a rectangle (A) = _______
A) l/b
B) l + b
C) l × b
D) 3 × s
Answer:
C) l × b

Question 56.
Formula for perimeter of an equilateral triangle is ?
A) 4s
B) 3s
C) 2 (l + b)
D) 5s
Answer:
B) 3s

Question 57.
Formula for perimeter of a rectangle is _______
A) 2 (l + b)
B) 4s
C) 3s
D) 5s
Answer:
A) 2 (l + b)

Question 58.
If the length and breadth of a rectangular field are equal, then it is called a _______
A) Hexagon
B) Parallelogram
C) Rectangle
D) Square
Answer:
D) Square

Question 59.
The amount of surface enclosed by a closed figure is called _______
A) Area
B) Perimeter
C) Half section area
D) None
Answer:
A) Area

Question 60.
A regular octagon has _______ sides.
A) 6
B) 5
C) 8
D) 10
Answer:
C) 8

Question 61.
Which formula is used to find the area of a carrom board?
A) A = s²
B) A = l × b
C) p = 4s
D) p = 2(l + b)
Answer:
A) A = s²

Question 62.
The formula used to find the area of the floor of your classroom is
A) A = \(\frac{1}{2}\) bh
B) A = l × b
C) P = 4s
D) A = s²
Answer:
B) A = l × b

Question 63.
The formula used to find the perimeter of the door in your house
A) P = 2 (l + b)
B) P = 4s
C) A = l × b
D) A = s²
Answer:
A) P = 2 (l + b)

Question 64.
The formula used to find the perimeter of a square flower bed is
A) P = 4/s
B) P = 2(l + b)
C) A = \(\frac{1}{2}\) lb
D) P = 4s
Answer:
D) P = 4s