Last Updated: 7 March 2024
The Area and Perimeter of plane figures are one of the most important lessons to be learned that have a vast application in the real world.
The chapter Area and Perimeter in mathematics is also an important syllabus that should be covered to sit for various army exams, interviews, competitive exams, Olympiads, School exams, etc.
This article contains 70 important Multiple Choice Questions with answers that you must read (it is based on CBSE and ICSE syllabus).
Area And Perimeter Multiple Choice Questions
1. The dimension of the floor of a rectangle hall is 4 m x 3 m. The floor of the hall is to be tiled fully with 8 cm x 6 cm rectangular tiles without breaking tiles to a smaller size, What many tiles are required?
a) 1900
b) 2500
c) 3300
d) 576
2. A rectangle has 15 cm as its length and 150 cm2 as its area. Its area is increased to 11⁄3 times the original area by increasing only its length. What is the new perimeter?
a) 40 cm
b) 50 cm
c) 60 cm
d) 70 cm
3. A 5 m wide lawn is cultivated all along the outside of a rectangular plot measuring 90 m x 40 m. What is the total area of the lawn?
a) 1680 m2
b) 1400 m2
c) 1350 m2
d) 1250 m2
4. A rectangle lawn 60 m x 40 m has two roads each 5 m wide running in the middle of it, one parallel to the length and another parallel to the breadth. What is the cost of traveling the road at ₹60 per sq meter?
a) ₹28,000
b) ₹23,200
c) ₹32,300
d) ₹28,500
5. A hall 40 m long and 15 m broad is to be paved with stones each measuring 6 dm x 5 dm. What is the number of stones required?
a) 2000
b) 2500
c) 3200
d) 3600
6. A road of 1 m wide is laid around a rectangle garden of length 10 m and width 5 m. What is the cost of cementing the road at ₹200 per m2?
a) ₹10,000
b) ₹6,800
c) ₹13,000
d) ₹3,400
7. What is the length of the longest pole that can be placed in the park if the park is 10 m long and 8 m broad?
a) 12.8 m
b) 13.4 m
c) 14.7 m
d) 10.2 m
8. If the perimeter of a rectangle field is 200 m and its breadth is 40 m. What is the area?
a) 4800 m2
b) 3600 m2
c) 1200 m2
d) 2400 m2
9. The length of a hall is 4/3 times its breadth and the area of the hall is 300 m2. What is the difference between the length and breadth?
a) 25 m
b) 5 m
c) 9 m
d) 7 m
10. The length of a rectangle is 2 cm more than its breadth. If the perimeter of the rectangle is 48 cm, then what is the area?
a) 92 cm2
b) 96 cm2
c) 143 cm2
d) 153 cm2
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11. A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ratio 6 : 5. What is the smaller side of the rectangle?
a) 60 cm
b) 52 cm
c) 48 cm
d) 70 cm
12. What is the area of the largest circle that can be drawn inside a rectangle of sides 7 m x 6 m?
a) 198/7 m2
b) 202/7 m2
c) 177/9 m2
d) 576/3 m2
13. What is the area of the largest circle that can be drawn inside a square of a side 14 cm?
a) 174 cm2
b) 204 cm2
c) 154 cm2
d) 194 cm2
14. If the area of a circle is 38.5 cm2. What is the circumference?
a) 31 cm
b) 24 cm
c) 11 cm
d) 22 cm
15. What is the area of a circle if the circumference is 352 m?
a) 8,965 m2
b) 9,856 m2
c) 8,956 m2
d) 5,898 m2
16. If the ratio of areas of two squares is 9 : 1, What is the ratio of their perimeters?
a) 1: 2
b) 1: 3
c) 3 : 1
d) 3 : 4
17. A colored cloth 1.75 m long and 105 cm wide is made into square handkerchiefs of side 35 cm. How many handkerchiefs can be made with the given cloth?
a) 19
b) 17
c) 23
d) 15
18. If the side of a square is doubled, What is the ratio of the area of the resulting square to that of the given square?
a) 3 : 1
b) 4 : 1
c) 5 : 1
d) 1 : 2
19. The area of a rectangle is 144 m long is the same as that of a square having a side of 84 m long. What is the width of the rectangle?
a) 39 m
b) 35 m
c) 49 m
d) 14 m
20. The length and breadth of a rectangular field are 120 m and 80 m. Inside the field, a park of 12 m width is made around the field. What is the area of the park?
a) 7344 m2
b) 2256 m2
c) 3224 m2
d) 4224 m2
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21. The cross-section of a canal is a trapezium in shape. If the canal is 10 meters wide at the top and 6 meters wide at the bottom and the area of the cross-section is 640 m2. What is the length of the canal?
a) 80 m
b) 160 m
c) 120 m
d) 70 m
22. The area of a trapezium is 384 cm2. If its parallel sides are in the ratio 3 : 5 and the perpendicular distance between them be 12 cm. What is the smaller of the parallel sides?
a) 22 cm
b) 36 cm
c) 12 cm
d) 24 cm
23. The length of two parallel sides of a trapezium are 20 cm and 30 cm and its height is 6 cm. What is the area?
a) 150 cm2
b) 200 cm2
c) 250 cm2
d) 300 cm2
24. The distance of 14 cm long side of a parallelogram from the opposite sides 16 cm. What is the area of the parallelogram?
a) 226cm2
b) 116 cm2
c) 224 cm2
d) 118 cm2
25. The length of the diagonal of a rhombus is 80% of the length of the other diagonal. Then, the area of the rhombus is how many times the square of the length of the longer diagonal?
a) 5/2
b) 2/5
c) 4/5
d) 5/4
26. The area of a rhombus is 144 cm2, one of the diagonal is twice as long as the other. What is the length of its diagonal?
a) 24 cm, 48 cm
b) 12 cm, 48 cm
c) 24 cm, 48 cm
d) 12 cm, 24 cm
27. If the length of a side of a rhombus is 5 m and one of its diagonal is of length 8 m. What is the length of the other diagonal?
a) 4 m
b) 5 m
c) 6 m
d) 7 m
28. What should be the length of a rope by which a cow must be tethered in order that it may be able to gaze an area of 9856 m2?
a) 56 m
b) 88 m
c) 65 m
d) 51 m
29. 100 m2=______ cm2
a) 10K
b) 1M
c) 1K
d) 100K
30. 5000 cm2=_____ dm2
a) 5M
b) 500
c) 50
d) 500K
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31. 1 hectare=_____m2
a) 10K
b) 100K
c) 1M
d) 1K
32. The area of a rhombus is half the product of its _____?
a) Length
b) Curved Surface
c) Diagonal
d) Opposite Side
33. If the perimeter and area of a square are numerically equal then, What is the length of its side?
a) 2 Units
b) 4 Units
c) 5 Units
d) 7 Units
34. If the ratio of the lengths and breadths of a rectangle is 3 : 2 and its area is 96 cm2. What is the length?
a) 8 cm
b) 24 cm
c) 6 cm
d) 12 cm
35. The perimeter of a plane figure is the ______ of its boundary.
a) Diagonal
b) Length
c) Side
d) Surface
36. The measure of the surface enclosed by a plane figure is called its ______?
a) Area
b) Diagonal
c) Length
d) Perimeter
37. What is the Diagonal of a rectangle?
a) √(l2+b2) Units
b) (l2+b2) Units
c) a√2 Units
d) √{Area- (l2+b2)} Units
38. A square lawn is surrounded by a path 2.5 m wide. If the area of the path is 165 m2. What is the area of the lawn?
a) 166 m2
b) 176 m2
c) 186 m2
d) 196 m2
39. The perimeter of a square grassy plot is 122 m. What is the cost of cutting the grass at ₹4 per sq meter?
a) ₹4721
b) ₹3721
c) ₹5721
d) ₹2721
40. The area of a square field is one hectare. What is the cost of fencing it at ₹26.50 per meter?
a) ₹11,769
b) ₹10,600
c) ₹20,260
d) ₹19,789
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41. The length of the diagonal of a square is 32 cm. What is the perimeter? (Take √2=1.41)
a) 93.42 cm
b) 90.24 cm
c) 92.24 cm
d) 87.65 cm
42. What is the diagonal of a square having each side 8 m long? (Take √2=1.41)
a) 11.28 m
b) 12.28 m
c) 13.28 m
d) 14.28 m
43. A rectangle field is 50 m x 40.5 m. It has 2 crossroads through its center, running parallel to its sides. The width of the longer and the shorter roads are 1.8 m and 2.5 m. Find the total expense involved in cementing the road at ₹24 per m2 and laying grass in the remaining part at ₹1.60 per m2?
a) ₹7243.20
b) ₹7342.20
c) ₹7423.20
d) ₹7324.20
44. A rectangular grassy plot 110 m long and 65 m wide has a gravel path 3 m wide all round it on the inside. Find the cost of leveling the path at 680 paise per sq meter?
a) ₹6589.20
b) ₹6985.20
c) ₹6895.20
d) ₹6598.20
45. A rectangular grassy lawn measuring 38 m x 25 m has been surrounded externally by a 2.5 m wide path. Calculate the cost of graveling the path at the rate of ₹34.50 per sq meter?
a) ₹13,730
b) ₹11,730
c) ₹11,370
d) ₹17,130
46. The cost of carpeting a room 18 m long with a carpet 75 cm wide at ₹74.50 per meter is ₹13,410. What is the breadth of the room?
a) 4.7 m
b) 6.5 m
c) 8.5 m
d) 7.5 m
47. The length of a rectangle is 12 m and its diagonal is 15 m. What is the area of the rectangle?
a) 108 m2
b) 98 m2
c) 118 m2
d) 128 m2
48. The area of a rectangle park is 2160 m2. The length and breadth of the park are in the ratio 5 : 3. Find the cost of fencing the park at ₹25 per meter?
a) ₹4800
b) ₹5600
c) ₹5200
d) ₹4700
49. The area of a rectangle is 20 m2 and its length is 8m. What is the perimeter of the rectangle?
a) 17 m
b) 31 m
c) 21 m
d) 27 m
50. Side of square=_____ units
a) a2
b) √(Area)
c) 1⁄2 x (Diagonal)
d) Area2
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51. The base of a parallelogram is twice its height. If the area is 98 cm2. What is the height?
a) 14 cm
b) 17 cm
c) 24 cm
d) 26 cm
52. A parallelogram has sides of 15 cm and 12 cm. If the distance between its shorter sides is 7.5 cm. What is the distance between its longer sides?
a) 5 cm
b) 7 cm
c) 6 cm
d) 9 cm
53. What is the area of the rhombus if the length of whose diagonal are 25 cm and 16.8 cm?
a) 310 cm2
b) 210 cm2
c) 190 cm2
d) 110 cm2
54. Find the area of a rhombus having each side equal to 13 cm and one of its diagonals equal to 24 cm?
a) 110 cm2
b) 170 cm2
c) 120 cm2
d) 150 cm2
55. What is the area of a trapezium ABCD whose parallel sides are AB=19 cm, DC=9 cm, and the non-parallel sides are BC=8 cm and DA=6 cm?
a) 77.2 cm2
b) 47.2 cm2
c) 57.2 cm2
d) 67.2 cm2
56. The parallel sides of a trapezium are 18 cm and 15 cm and the distance between them is 5.6 cm. What is the area of the trapezium?
a) 92.4 cm2
b) 91.4 cm2
c) 98.4 cm2
d) 96.4 cm2
57. The length of the parallel sides of a trapezium are in the ratio 5 : 3 and the distance between them is 12.5 cm. If the area of the trapezium is 450 cm2. What is the length of its parallel sides?
a) 15 cm and 7 cm
b) 12 cm and 14 cm
c) 15 cm and 9 cm
d) 17 cm and 9 cm
58. What is the area of a regular hexagon in which each side measures 13 cm and height is 23 cm?
a)422 cm2
b) 432 cm2
c) 442 cm2
d) 452 cm2
59. What is the area of a semi-circle of radius 10.5 cm?
a) 143.25 cm2
b) 153.25 cm2
c) 173.25 cm2
d) 137.25 cm2
60. If the perimeter of a semi-circle is 18 cm what is the area?
a) 19.25 cm2
b) 17.25 cm2
c) 18.25 cm2
d) 19.75 cm2
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61. A wire is bent into the form of a square of side 27 cm. The wire is straightened and bent into the form of a semi-circle. What will be the radius of the semi-circle so formed?
a) 17 cm
b) 19 cm
c) 21 cm
d) 24 cm
62. What is the Area of a semi-circle?
a) 1⁄2 π2 x (radius)2 Sq. Units
b) 1⁄2 π x (radius)2 Sq. Units
c) 1⁄2 π x (radius) Sq. Units
d) 1⁄4 π x (radius)2 Sq. Units
63. What is the Area of a Trapezium?
a) 1⁄2 (Sum of all parallel sides) Sq. Units
b) 1⁄2 (Distance between them) Sq. Units
c) 1⁄2 (Sum of all parallel sides + Distance between them) Sq. Units
d) 1⁄2 (Sum of all parallel sides x Distance between them) Sq. Units
64. What is the Area of a Rhombus?
a) 1⁄2 x (Product of diagonals) Sq. Units
b) 1⁄2 x (Product of diagonals)2 Sq. Units
c) 1⁄2 x (Radius) Sq. Units
d) 1⁄2 x (Sum of parallel + Product of diagonals) Sq. Units
65. What is the perimeter of a semi-circle?
a) Radius x (2π+2) Units
b) Radius x (2π) Units
c) Radius x (π+2) Units
d) Radius + (2π) Units
66. What is the area of the parallelogram?
a) 1⁄2 x (Product of diagonals)2 Sq. Units
b) 1⁄2 x (Diagonals)2 Sq. Units
c) (Base x Height) Sq. Units
d) 1⁄2 (Base x Height) Sq. Units
67. The area of a rhombus is 184 cm2 and its perimeter is 64 cm. What is the altitude?
a) 14.5 cm
b) 13.5 cm
c) 12.5 cm
d) 11.5 cm
68. A square field has an area of 6.25 acres. What is the cost of putting a fence around it at ₹32.50 per meter?
a) ₹3520
b) ₹3025
c) ₹3205
d) ₹3250
69. A rectangular plot of land measures 95 m x 72 m. Inside the plot, a path of uniform width 3.5 m is to be constructed all around. The rest of the plot is to be laid with grass. What is the total expense involved in constructing the path at ₹46.50 per m2 and laying the grass at ₹3.75 per m2?
a) ₹73,530
b) ₹73,350
c) ₹63,530
d) ₹63,350
70. The length and breadth of a rectangular field are in the ratio 7 : 5 and its perimeter is 384. What is the cost of repeating the field at ₹1.25 per sq meter?
a) ₹11,800
b) ₹11,600
c) ₹11,100
d) ₹11,200
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