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CBSE Class 7 Mathematics MCQ
Perimeter And Area
with Answers
Question 1: The perimeter of regular polygon is
(A) no. of sides x lengths of one side
(b) no. of sides + lengths of one side
(c) no. of sides – lengths of one side
(d) no. of sides ÷ lengths of one side
Answer : AShow Answer :
Question 2: The area of a square whose perimeter is 4 m
(A) 1 m2
(b) 4 m2
(c) 2 m2
(d) 3 m2
Answer : AShow Answer :
Question 3: Which figure encloses more area : a square of side 2 cm ; a rectangle of side 3 cm &
2 cm ;An equilateral triangle of side 4 cm
(A) rectangle
(b) square
(c) triangle
(d) same of rectangle & square
Answer : CShow Answer :
Question 4: The base in the area of parallelogram is
(A) area/height
(b) height/area
(c) area x base
(d) area xheight
Answer : AShow Answer :
Question 5: If the area of the triangle is 36 cm2 and the height is 3 cm, the base of the triangle will be
(A) 12 cm
(b) 39 cm
(c) 108 cm
(d) 24 cm
Answer : DShow Answer :
Question 6: The perimeter of square of side 2.5 m is
(A) 10.2 m
(b) 10.2 m2
(c) 6.25 m2
(d) 6.25 m
Answer : AShow Answer :
Question 7: What will be the area of circular button of radius 7 cm
(A) 154 cm2
(b) 49 cm2
(c) 154 cm
(d) 3.14 x 7 cm2
Answer : AShow Answer :
Question 8: If the area of circle is 44 cm2 , the are of shaded portion will be

(a) 11 cm2
(b) 11 cm
(c) 22 cm2
(d) 22 cm2
Answer : AShow Answer :
Question 9: The area of parallelogram is
(A) base + height
(b) base x height
(c) base x base
(d) height x height
Answer : BShow Answer :
Question 10: The circumference of a circle is
(A) ᴫ x r
(b) ᴫ x r2
(c) ᴫ x 2r
(d) ᴫ + 2r
Answer : CShow Answer :
Question 11: In the figure is isosceles AE = 6 cm , BC = 9 cm, the area of is
(A) 27 cm2
(b) 54 cm2
(c) 22.5 cm2
(d) 45 cm2
Answer : AShow Answer :
Question 12: The height in the area of a triangle
(A) 2 area/base
(b) 2 base/area
(c) area/2 base
(d) base/2 area
Answer : AShow Answer :
Question 13: The distance around a circular region is known as it
(A) area
(b) diameter of circle
(c) circumference
(d) radius
Answer : CShow Answer :
Question 14: The diameter of a circle is
(A) r2
(b) r2
(c) 2ᴫ r3
(d) ᴫ r2
Answer : BShow Answer :
Question 15: Which of the following has the formula Base Height
(A) area of parallelogram
(b) area of quadrilateral
(c) area of triangle
(d) area of trapezium
Answer : AShow Answer :
Question 16: The area of a circle is
(A) 2 ᴫ r
(b) 2 ᴫ r2
(c) ᴫ r2
(d) ᴫ d
Answer : CShow Answer :
Question 17: The area of triangle is
(A) base x height
(b) ½ x base x height
(c) ½ (base + height)
(d) base + height
Answer : BShow Answer :
Question 18: 1 m2 = __________ .
(A) 100 cm2
(b) 1000 cm2
(c) 10000 m2
(d) 10000 cm2
Answer : DShow Answer :
Question 19: The circumference of a circle with radius 7 cm is
(A) 11 cm
(b) 22 cm
(c) 44 cm
(d) 49 cm
Answer : CShow Answer :
Question 20: In fig. the area of larger rectangle is 1750 m2 and the area of smaller rectangle is 1350 m2

(a) 3100 m2
(b) 400 m2
(c) 750 m2
(d) 350 m2
Answer : BShow Answer :
Question 21: Find the area of a circle having radius 14 cm.
(A) 196 cm2
(B) 308 cm2
(C) 616 cm2
(D) None of these
Answer : (c) 616 cm2Show Answer :
Area of a circle πr2 =
Question 22: Find the breadth of a rectangular plot of land, if its area is 440 m2 and the length is 22 m.
(A) 20 m
(B) 5 m
(C) 15 m
(D) 10 m
Answer : (a) 20 mShow Answer :
Question 23: One of the sides and the corresponding height of a parallelogram are 4 cm and 3 cm respectively. Find the area of the parallelogram.
(A) 12 cm2
(B) 7 cm2
(C) 6 cm2
(D) None of these
Answer : (a) 12 cm2Show Answer :
Area of a parallelogram = side × height.
Question 24: Find the area of a verandah 2.25 m wide constructed outside a room 5.5 m long and 4 m wide.
(A) 36sq.m
(B) 63sq.m
(C) 64sq.m
(D) 84sq.m
Answer : (b) 63sq.mShow Answer :
Question 25: Find the cost of lamination in the above question at the rate of Rs. 2.00 per cm2.
(A) Rs. 1200
(B) Rs. 2200
(C) Rs. 2400
(D) None of these
Answer : (c) Rs. 2400Show Answer :
For lamination, area of frame is considered and product of area and cost is found.
Question 26: When the circumference and area of a circle are numerically equal, what is the diameter numerically equal to?
(A) Area
(B) Circumference
(C) 271
(D) 4
Answer : (d) 4Show Answer :
Question 27: A gardener wants to fence a circular garden of diameter 14 m. Find the length of the rope he needs to purchase.
(A) 44 m
(B) 28 m
(C) 88 m
(D) None of these
Answer : (a) 44 mShow Answer :
Fence means circumference of the circle. First calculate radius and then find circumference of the given circular garden.
Question 28: If the area of a circle is 2464 m2, find its diameter,
(A) 56m
(B) 154m
(C) 176m
(D) 206m
Answer : (a) 56mShow Answer :
Question 29: What is the circumference of a circle of radius 7 cm ?
(A) 44 cm
(B) 49 cm
(C) 14 cm
(D) None of these
Answer : (a) 44 cmShow Answer :
Circumference of a circle = 2πr, 2 ×
Question 30: The height in the area of a triangle
(A)
(B)
(C)
(D) None of these
Answer : (a) Show Answer :
Question 31: Ayush made his picture on a rectangular sheet of length 60 cm and breadth 20 cm wide. Area of picture is :
(A) 1200 cm2
(B) 1250 cm2
(C) 1100 cm2
(D) None of these
Answer : (a) 1200 cm2Show Answer :
Area of rectangular picture is length × breadth.
Question 32: A rectangular garden is 65 cm long and 50 cm wide. Two cross paths each 2 m wide are to be constructed parallel to the sides. If these paths pass through the centre of the garden, find the cost of constructing the paths at the rate Rs. 69 per m2.
(A) Rs. 15000
(B) Rs. 15594
(C) Rs. 15500
(D) None of these
Answer : (b) Rs. 15594Show Answer :
Question 33: If a side of a square is 4 cm then its perimeter is :
(A) 16 cm
(B) 8 cm
(C) 12 cm
(D) None of these
Answer : (a) 16 cmShow Answer :
Perimetre of square is 4 × side
Question 34: The area of triangle is
(A) (
(B) (
(C) base (d) height
(D) None of these
Answer : (a) (Show Answer :
Question 35: The length and the breadth of a rectangular piece of land are S00 m and 300 m. Find the cost of the land if 1 m2 of the land costs Rs. 10000.
(A) Rs. 15,00,00,00
(B) Rs. 1500,000
(C) Rs. 1500,00
(D) None of these
Answer : (a) Rs. 15,00,00,00Show Answer :
Area of a rectangular piece is multiplied by cost of land.
Question 36: A wire bent in the form of a circle of radius 42 cm is again bent in the form of a square. What is the ratio of the regions enclosed by the circle and the square?
(A) 11:12
(B) 21:33
(C) 22:33
(D) 14:11
Answer : (d) 14:11Show Answer :
Question 37: Find the cost of frame in the above question at the rate of Rs. 3.00 per cm.
(A) Rs. 480
(B) Rs. 3600
(C) Rs. 240
(D) None of these
Answer : (a) Rs. 480Show Answer :
For frame cost perimeter is multiplied by 3.
Question 38: Find radius of a circle of diameter 9.8 m.
(A) 4.9 m
(B) 19.6 m
(C) 10 m
(D) None of these
Answer : (a) 4.9 mShow Answer :
Radius of a circle is half of its diametre.
Question 39: What is the circumference of a circle of diameter 10 cm?
(A) 35 cm
(B) 30 cm
(C) 31.4 cm
(D) None of these
Answer : (c) 31.4 cmShow Answer :
Question 40: In the above questions, find the perimeter of the rectangular sheet.
(A) 80 cm
(B) 100 cm
(C) 90 cm
(D) None of these
Answer : (c) 90 cmShow Answer :
Perimeter = 2(length + breadth).
Question 41: The length and breadth of a rectangular hall in a model are 0.4 m and 30 cmrespectively. What is the distance between the opposite corners of the wall in the model?
(A) 34.16m
(B) 50m
(C) 34.16 cm
(D) 50cm
Answer : (d) 50cmShow Answer :
Question 42: The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth.
(A) 35 cm
(B)
(C) 15 cm
(D) None of these
Answer : (c) 15 cmShow Answer :
2(l + b) = 100, 2l + 2b = 100, 2 × 35 + 2b = 100, 2b = 30 ÷ 2 = 15 cm.
Question 43: Which figure encloses more area: a square of side 2 cm ; a rectangle of side 3 cm and 2 cm ;An equilateral triangle of side 4 cm?
(A) equilateral triangle
(B) square
(C) triangle
(D) None of these
Answer : (a) equilateral triangleShow Answer :
Question 44: In the above question, what will be the perimeter of the picture frame ?
(A) 80 cm
(B) 160 cm
(C) 120 cm
(D) None of these
Answer : (b) 160 cmShow Answer :
Perimeter of a rectangular picture is 2(length + breadth).
Question 45: Find the area of the following triangle 😕
(a) 6 cm2
(B) 4 cm2
(C) 16 cm2
(D) None of these
Answer : (b) 4 cm2Show Answer :
Area of triangle ∑ = base × altitude.
Question 46: If we cut a square along one of its diagonals, two triangles are obtained. Area of each triangle obtained = __________.
(A) (
(B) (
(C) Area of the square
(D) None of these
Answer : (a) (Show Answer :
Question 47: Find the perimeter of a triangle with sides 4 cm, 6 cm and 10 cm
(A) 20 cm
(B) 24 cm
(C) 9 cm
(D) 18 cm
Answer : (a) 20 cmShow Answer :
Question 48: The area of a rectangular sheet is 500 cm2. If the length of the sheet is 25 cm. What is its width ?
(A) 20 cm
(B) 25 cm
(C) 50 cm
(D) None of these
Answer : (a) 20 cmShow Answer :
Breadth of a rectangle is area ÷ length.
Question 49: The base in the area of parallelogram is
(A)
(B) area × base
(C)
(D) area × height
Answer : (a) Show Answer :
Question 50: Find the area of a square park whose perimeter is 320 cm ?
(A) 6400 m2
(B) 6000 m2
(C) 1280 m2
(D) None of these
Answer : (a) 6400 m2Show Answer :
Side of square 320 ÷ 4 = 80, Area of square is 80 × 80 = 6400 m2.
Question 51: The area of parallelogram is
(A) height × height
(B) base × height
(C) base + height
(D) base × base
Answer : (b) base × heightShow Answer :
Question 52: If a side of a square is 5 cm then its area is :
(A) 20 cm2
(B) 25 cm2
(C) 10 cm2
(D) None of these
Answer : (b) 25 cm2Show Answer :
Area of square is side × side.
Question 53: Find the area of a triangle with a base of 20 cm and a height of 30 cm
(A) 300
(B) 100
(C) 400
(D) 600
Answer : (a) 300Show Answer :
Question 54: Find the height x, if the area of the parallelogram is 24 cm2 and the base is 4 cm.
(A) 4 cm
(B) 6 cm
(C) 5 cm
(D) None of these
Answer : (b) 6 cmShow Answer :
Height of a parallelogram = area ÷ side.
Question 55: The area of a square whose perimeter is 4 m
(A) 2 m2
(B) 1 m2
(C) 3 m2
(D) None of these
Answer : (b) 1 m2Show Answer :
Question 56: Perimeter of a square field is 400 cm, find its one side.
(A) 300 cm
(B) 200 cm
(C) 100 cm
(D) None of these
Answer : (c) 100 cmShow Answer :
Side of square = perimeter ÷ four.
Question 57: The length and the breadth of a rectangular piece of land are 400 m and 250 m respectively. What is the cost of the land at Rs. 1000 per square metre?
(A) Rs.10 lakhs
(B) Rs.1 crore
(C) Rs.10 crores
(D) Rs.10 thousands
Answer : (c) Rs.10 croresShow Answer :
Question 58: Find x in the given figure :
(a) 4.5 cm
(B) 6 cm
(C) 2 cm
(D) None of these
Answer : (a) 4.5 cmShow Answer :
x(6 × 3) ÷ 4.
Question 59: Perimeter of a square =
(A) side × side
(B) 3 × side
(C) 4 × side
(D) 2 × side
Answer : (c) 4 × sideShow Answer :
Hint:
Formula
Question 60: Perimeter of a rectangle of length Z and breadth 6 is
(A) l + b
(B) 2 × (l + b)
(C) 3 × (l + b)
(D) l × b
Answer : (b) 2 × (l + b)Show Answer :
Hint:
Formula
Question 61: Area of a square =
(A) side × side
(B) 2 × side
(C) 3 × side
(D) 4 × side
Answer : (a) side × sideShow Answer :
Hint:
Formula
Question 62: Area of a rectangle of length l and breadth b is
(A) l × b
(B) l + b
(C) 2 × (l + b)
(D) 6 × (l + b)
Answer : (a) l × bShow Answer :
Hint:
Formula
Question 63: Area of a parallelogram =
(а) base × height
(B)
(C)
(D)
Answer : (а) base × heightShow Answer :
Hint:
Formula
Question 64: Area of a triangle =
(а) base × height
(B)
(C)
(D)
Answer : (b) Show Answer :
Hint:
Formula
Question 65: The circumference of a circle of radius r is
(A) πr
(B) 2πr
(C) πr2
(D)
Answer : (b) 2πrShow Answer :
Hint:
Formula
Question 66: The circumference of a circle of diameter d is
(A) πd
(B) 2πd
(C)
(D) πd2
Answer : (a) πdShow Answer :
Hint:
Formula
Question 67: If r and d are the radius and diameter of a circle respectively, then
(A) d = 2 r
(B) d = r
(C) d =
(D) d = r2
Answer : (a) d = 2 rShow Answer :
Hint:
Formula
Question 68: The area of a circle of radius r is
(A) πr2
(B) 2πr2
(C) 2πr
(D) 4πr2
Answer : (a) πr2Show Answer :
Hint:
Formula
Question 69: The area of a circle of diameter d is
(A) πd2
(B) 2πd2
(C)
(D) 2πd
Answer : (c) Show Answer :
Hint:
Formula
Question 70: 1 cm2 =
(A) 10 mm2
(B) 100 mm2
(C) 1000 mm2
(D) 10000 mm2
Answer : (b) 100 mm2Show Answer :
Hint:
Formula
Question 71: 1 m2 =
(A) 10 cm2
(B) 100 cm2
(C) 1000 cm2
(D) 10000 cm2
Answer : (d) 10000 cm2Show Answer :
Hint:
Formula
Question 72: 1 hectare =
(A) 10 m2
(B) 100 m2
(C) 1000 m2
(D) 10000 m2
Answer : (d) 10000 m2Show Answer :
Hint:
Formula
Question 73: 1 are =
(A) 10 m2
(B) 100 m2
(C) 1000 m2
(D) 10000 m2
Answer : (b) 100 m2Show Answer :
Hint:
Formula
Question 74: The area of a square plot is 1600 m2. The side of the plot is
(A) 40 m
(B) 80 m
(C) 120 m
(D) 160 m
Answer : (a) 40 mShow Answer :
Hint:
Side =
Question 75: The area of a square is 121 m2. Its side is
(A) 11 m
(B) 21 m
(C) 31 m
(D) 41 m
Answer : (a) 11 mShow Answer :
Hint:
Side =
Question 76: The area of a square is 625 m2. Find its side
(A) 25 m
(B) 50 m
(C) 125 m
(D) 5 m
Answer : (a) 25 mShow Answer :
Hint:
Side =
Question 77: The area of a rectangular field is 250 m2. If the breadth of the field is 10 m, find its length.
(A) 25 m
(B) 50 m
(C) 100 m
(D) 125 m
Answer : (a) 25 mShow Answer :
Hint:
Length =
Question 78: The perimeter of a rectangle is 30 m. Its length is 10 m. Its breadth is
(A) 5 m
(B) 10 m
(C) 15 m
(D) 3 m
Answer : (a) 5 mShow Answer :
Hint:
30 = 2 (Length + Breadth)
⇒ 30 = 2 (10 + Breadth)
⇒ Breadth = 5 m
Question 79: The perimeter of a square is 48 cm. Its area is
(A) 144 cm2
(B) 12 cm2
(C) 48 cm2
(D) 100 cm2
Answer : (a) 144 cm2Show Answer :
Hint:
Side =
∴ Area = 12 × 12 = 144 cm2
Question 80: The area of a rectangular room is 150 m2. If its breadth is 10 m, then find its length.
(A) 15 m
(B) 25 m
(C) 50 m
(D) 55 m
Answer : (a) 15 mShow Answer :
Hint:
Length =
Question 81: A rectangular wire of length 40 cm and breadth 20 cm is bent in the shape of a square. The side of the square is
(A) 10 cm
(B) 20 cm
(C) 30 cm
(D) 40 cm
Answer : (c) 30 cmShow Answer :
Hint:
Side of square =
Question 82: The area of a parallelogram of base 5 cm and height 3.2 cm is
(A) 8 cm2
(B) 12 cm2
(C) 16 cm2
(D) 20 cm2
Answer : (c) 16 cm2Show Answer :
Hint:
Area = 5 × 3.2 = 16 cm2
Question 83: Find the area of the following ; parallelogram:
(A) 12 cm2
(B) 6 cm2
(C) 24 cm2
(D) 8 cm2
Answer : (a) 12 cm2Show Answer :
Hint:
Area = 6 × 2 = 12 cm2
Question 84: Find the area of the following parallelogram:
(A) 6 cm2
(B) 12 cm2
(C) 16 cm2
(D) 9 cm2
Answer : (b) 12 cm2Show Answer :
Hint:
Area = 4 × 3 = 12 cm2
Question 85: The area of the parallelogram ABCD in which AB = 6.2 cm and the perpendicular from C on AB is 5 cm is
(A) 30 cm2
(B) 29 cm2
(C) 28 cm2
(D) 31 cm2
Answer : (d) 31 cm2Show Answer :
Hint:
Area = 6.2 × 5 = 31 cm2
Question 86: One of the sides and the corresponding height of a parallelogram are 3 cm and 1 cm respectively. The area of the parallelogram is
(A) 1 cm2
(B) 3 cm2
(C) 6cm2
(D) 12 cm2
Answer : (b) 3 cm2Show Answer :
Hint:
Area = 3 × 1 = 3 cm2
Question 87: If the area of a parallelogram is 16 cm2 and base is 8 cm, find the height.
(A) 1 cm
(B) 2 cm
(C) 3 cm
(D) 4 cm
Answer : (b) 2 cmShow Answer :
Hint:
Height =
Question 88: The area of a parallelogram is 20 cm2 and height is 2 cm. Find the corresponding base.
(A) 3 cm
(B) 4 cm
(C) 5 cm
(D) 2.4 cm
Answer : (d) 2.4 cmShow Answer :
Hint:
Base =
Question 89: Find AD in the following figure :
(A) 3 cm
(B) 4 cm
(C) 5 cm
(D) 2.4 cm
Answer : (d) 2.4 cmShow Answer :
Hint:
Area of Δ ABC =
=
Question 90: Find the area of ∆ ABC :
(A) 1 cm2
(B) 2 cm2
(C) 4 cm2
(D)
Answer : (d) Show Answer :
Hint:
Area =
Question 91: Find the area of ∆ ABC
(A) 3 cm2
(B) 4 cm2
(C) 6 cm2
(D) 12 cm2
Answer : (c) 6 cm2Show Answer :
Hint:
Area =
Question 92: Find the area of ∆ ABC
(A) 1 cm2
(B) 2 cm2
(C) 3 cm2
(D) 4 cm2
Answer : (c) 3 cm2Show Answer :
Hint:
Area =
Question 93: Which of the following is not the value of π ?
(A)
(B)
(C)
(D) 3.14
Answer : (b) Show Answer :
Question 94: The radius of a circle is 7 cm. Its circumference is
(A) 22 cm
(B) 44 cm
(C) 11 cm
(D) 66cm
Answer : (b) 44 cmShow Answer :
Hint:
Circumference = 2 ×
Question 95: The diameter of a circle is 14 cm. Find its circumference
(A) 44 cm
(B) 22 cm
(C) 11 cm
(D) 55 cm
Answer : (a) 44 cmShow Answer :
Hint:
Circumference =
Question 96: The radius of a circle is 7 cm. Find its area
(A) 154 cm2
(B) 77 cm2
(C) 11 cm2
(D) 22 cm2
Answer : (a) 154 cm2Show Answer :
Hint:
Area =
Question 97: The diameter of a circle is 7 cm. Find its area
(A) 154 cm2
(B) 38.5 cm2
(C) 22 cm2
(D) 11 cm2
Answer : (b) 38.5 cm2Show Answer :
Hint:
Area =
Question 98: The perimeter of the following figure is
(A) 27 cm
(B) 28 cm
(C) 36 cm
(D) 40 cm
Answer : (c) 36 cmShow Answer :
Hint:
Perimeter = 2 × 7 +
= 14 + 22 = 36 cm.
Fill in the blanks.
Question 1: The distance around a circular region is known as its …………. .
Answer : circumferenceShow Answer :
Question 2: 1 hectare = …………..
Answer : 100,00 m2Show Answer :
Question 3: Area of a circle = ……… × r2
Answer : πShow Answer :
Question 4: Area of a rectangle = ……….. × Breadth
Answer : LengthShow Answer :
Question 5: ………… is the part of plane occupied by the closed figure.
Answer : AreaShow Answer :
Question 6: Perimetre of a rectangle = 2 (Length + ………)
Answer : BreadthShow Answer :
Question 7: Area of a ||gm = Base × ………..
Answer : HeightShow Answer :
Question 8: ……….. is the distance around a closed figure.
Answer : PerimeterShow Answer :
Question 9: Area of a square = Side × ………..
Answer : SideShow Answer :
Question 10: Perimetre of a square = 4 × ………..
Answer : SideShow Answer :
Question 11: Circumference of a circle = 2 × π × ……….
Answer : rShow Answer :