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