Perimeter Area Volume Questions and Answers

Perimeter Area and  Volume Questions

On this page we will be discussing about heights and distance questions that are asked in placement exams. Perimeter and Area is one of the most important topics related to which questions are asked in placement.
Defination of Perimeter, Area and Volume

Formulas

Rectangle

  • Area = Length * Width
  • Perimeter = 2 [Lengths + Widths]
Formulas for Area (Rectangle)

Triangle

  • Area = 1/2 * base * height
  • Perimeter = a + b + c (add the length of the three sides)
  • Area using Heron’s formula = S = \frac{a + b + c}{2}
    then, Area = \sqrt{S(S – a)(S – b)(S – c)}
Formula for Trianlgle

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Cuboid

  • Volume = Length * Width * Height
  • Surface = 2lw + 2lh + 2wh
  • Curved Surface Area = 2h(l + b)
Formulas for Volume (Cuboid)

Cylinder

  • Volume = \pi r^2\times \text{ height }
  • Surface area = 2\pi rh + 2\pi r^2
  • Curved Surface Area = 2\pi rh
Formula for Cylinder

Sphere

  • Volume = \frac{4}{3}\pi r^3
  • Surface = 4\pi r^2
Formula for Sphere

Question 1

Time: 00:00:00
A garden is in the shape of a rectangular field whose sides are in the proportion of 2:3. The garden’s area is 1/6 hectares. What is the breadth of the garden?

150

150

75

75

50

50

25

25

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Question 2

Time: 00:00:00
Find the area of the largest circle which is drawn in a rectangle having sides as 35 cm by 22 cm.

380.28

380.28

219.61

219.61

308.5

308.5

298.41

298.41

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Question 3

Time: 00:00:00
Find the area and perimeter of a rectangular area whose length is 29.5 meters and breadth is 21.8 meters.

612.6 and 94.5

612.6 and 94.5

643.1 and 102.6

643.1 and 102.6

622.8 and 103

622.8 and 103

601.2 and 92.12

601.2 and 92.12

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Question 4

Time: 00:00:00
A rectangular plot is in the ratio 5:4. If Neha is cycling sideways at the boundary of the garden at 12 km/hr speed, she finishes one round of the garden in 12 minutes. Find the area of the garden (in sq. m).

261777

261777

355537.78

355537.78

242022.22

242022.22

262552.05

262552.05

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Question 5

Time: 00:00:00
A room is half as long as it is broad. The cost of flooring it at Rs. 10 per square meter is Rs. 540 and the cost of painting the four walls at Rs. 20 per meter square are Rs. 3440. If the two windows and one door occupies the space of 16-meter square, then find the height of the room.

2

2

5

5

6

6

9

9

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Question 6

Time: 00:00:00
What is the area of the rhombus with one side as 5 cm and one diagonal as 8 meters?

35

35

38

38

32

32

24

24

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Question 7

Time: 00:00:00
A ground is in the shape of a trapezium whose parallel sides are 80 and 50 metres and non-parallel sides are 70 and 48 metres. Find the cost of cultivating the ground at the rate of 95 paisa per square metre?

11400.50

11400.50

15894.28

15894.28

11242.82

11242.82

12509.60

12509.60

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Question 8

Time: 00:00:00
If each side of the rectangle is increased by 42%, then find the increase in the area?

101.64%

101.64%

121.22%

121.22%

152.5%

152.5%

103.6%

103.6%

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Question 9

Time: 00:00:00
The altitude drawn to the base of an isosceles triangle is 10 cm. If the perimeter of the triangle is 40 cm, then find the area.

93.75 cm2

93.75 cm2

90 cm2

90 cm2

89.9cm2

89.9cm2

80cm2

80cm2

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Question 10

Time: 00:00:00
A square field is cultivating at Rs. 117.5 per hectare. The total cost of cultivating it is Rs. 1880. Find the cost of planting around it at the rate of 80 paise per meter.

1600

1600

1280

1280

1950

1950

1900

1900

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Question 11

Time: 00:00:00
A rectangular area is 150 m by 75 m. The area has a boundary of 3 meters wide in the inner part.  Find the area of the boundary and the cost of making it at 78 paise per 1000 cm2.

10650

10650

10358.4

10358.4

10898.3

10898.3

10249.2

10249.2

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Question 12

Time: 00:00:00
If the area of the rhombus is 95 cm2 and one diagonal length is 10 cm. Then find the length of the other diagonal?

19

19

29

29

25

25

21

21

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Question 13

Time: 00:00:00
The ratio of the areas of two triangles is 7:5, and their heights are in the ratio 5:7. Then find their base’s ratio.

9: 5

9: 5

11: 7

11: 7

49: 25

49: 25

112: 201

112: 201

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Question 14

Time: 00:00:00
A wheel of a truck makes 2000 revolutions and covers a distance of 176 Km. What is the radius of the circle?

56

56

26

26

14

14

44

44

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Question 15

Time: 00:00:00
Find the area of a rhombus whose one side is 24 cm, and one diagonal is 50 cm.

499

499

450

450

465

465

470

470

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Question 16

Time: 00:00:00
A hall is 15 m long, 10 m broad, and 12 m high. Find the cost of matting the hall with a carpet of breadth 50 cm at the rate of Rs. 3.50 per meter. What will be the cost of painting the 4 walls of the hall at Rs. 5.65 per meter square, if it is given that the doors and windows occupy 50 sq. meter?

Rs. 262.5 and Rs. 3107.5

Rs. 262.5 and Rs. 3107.5

Rs. 375 and Rs 1800

Rs. 375 and Rs 1800

Rs. 340.65 and Rs. 1750

Rs. 340.65 and Rs. 1750

None of the above

None of the above

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Question 17

Time: 00:00:00
The rectangular field of length and breadth 36 by 6 m is to be covered with artificial grass block of 160 by 60 cm. How many artificial grass block is required to cover the field?

100

100

280

280

350

350

225

225

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Question 18

Time: 00:00:00
If the area of the triangle and the perimeter of a circle of radius 21 cm is equal. Then find the side of a square, whose perimeter is four times the area of a triangle.

161

161

170

170

132

132

174

174

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Question 19

Time: 00:00:00
A rectangle plot of 10 m width and 20m length is paved at the boundary and left an area of 96 m2 for gardening. Find the width of the boundary.

5

5

7

7

2

2

3

3

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Question 20

Time: 00:00:00
A circular plot of diameter 140 m has a path 7 m wide running outside on it. Calculate how many tiles of 50 cm by 22 cm are required to pave the path?

40400

40400

21000

21000

31600

31600

29400

29400

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Question 21

Time: 00:00:00
The ratio of the diameter of the circle to the side of the square is 1:1. Find the area of the circle if the perimeter of the square is 52.

174.4 cm2

174.4 cm2

132.78 cm2

132.78 cm2

98.5 cm2

98.5 cm2

195.07 cm2

195.07 cm2

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Question 22

Time: 00:00:00
A park is rectangular with 160 meters length and 100 meters breadth. Two different roads of 24 meters width are made in the middle. One is corresponding to the length and the other to the breadth of the park. Find the cost of levelling the roads at 25 paisa per square meter.

1416

1416

1790

1790

1485

1485

1472

1472

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Question 23

Time: 00:00:00
The rectangular plot’s length is 110 meters more than its breadth. If the cost of making the boundary of the garden @ Rs. 65.5 per meter is Rs. 18500, then find the length of the garden?

136.2

136.2

129.5

129.5

125.61

125.61

100

100

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Question 24

Time: 00:00:00
A tank is 14 m long, 8 m wide, and 4 m deep. Find the cost of colouring its walls and bottom at 99 paisa per m2.

205

205

285.12

285.12

209.9

209.9

280

280

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Question 25

Time: 00:00:00
Siddhima owns an area which is in a shape of a triangle. The perimeter of the area is 1022 cm and side is in ratio 2:5:9. Calculate its area?

28566

28566

24888

24888

29589

29589

20480

20480

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Question 26

Time: 00:00:00
What is the area of the rhombus with one side as 32 cm and one diagonal as 18 meters?

550 cm2

550 cm2

552.6 cm2

552.6 cm2

553 cm2

553 cm2

555 cm2

555 cm2

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Question 27

Time: 00:00:00
The two adjacent sides of a parallelogram are 42 cm and 56 cm respectively. Its diagonal is 60 cm. Find the area of the parallelogram.

3567.94

3567.94

2260.38

2260.38

2552.36

2552.36

1557.02

1557.02

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Question 28

Time: 00:00:00
The ratio of the diameter of the circle to the side of the square is 1:1. Find the area of the circle if the perimeter of the square is 20.

14.4 cm2

14.4 cm2

12 cm2

12 cm2

19.64 cm2

19.64 cm2

15.07 cm2

15.07 cm2

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Question 29

Time: 00:00:00
Find the area of the circle whose diameter measures same as that of diagonal of square of side 25 cm.

1964.28 cm^{2}

1964.28 cm^{2}

1622.22 cm^{2}

1622.22 cm^{2}

1804.5 cm^{2}

1804.5 cm^{2}

1706.2 cm^{2}

1706.2 cm^{2}

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Question 30

Time: 00:00:00
A square paper of 22-meter length is written with a triangle form print of area 16 cm2, determine the number of triangles printed.

320000

320000

305000

305000

302500

302500

370000

370000

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["0","40","60","80","100"]
["Need more practice!","Keep trying!","Not bad!","Good work!","Perfect!"]

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