Area problems
- 1. The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
Options- A. 153600
- B. 143600
- C. 13600
- D. 16300 Also asked in: Bank Exams, Bank PO
Correct Answer: 153600
Explanation:
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.Area = (480 x 320) sq.m = 153600 sq.m
- 2. If the diagonals of a rhombus are 24cm and 10cm the area and the perimeter of the rhombus are respectively.
Options- A. 10
- B. 11
- C. 12
- D. 13 Also asked in: Bank Exams, Bank PO
Correct Answer: 13
Explanation:
Area = = sq.cm
side of a rhombus = (12)² + (5)² = 169 => AB = 13cm
- 3. The wheel of a motorcycle 70cm in diameter makes 40 revolutions in every 10sec.What is the speed of motorcycle n km/hr?
Options- A. 13.68kmph
- B. 31.68kmph
- C. 41.68kmph
- D. 45.68kmph Also asked in: Bank Exams, Bank PO
Correct Answer: 31.68kmph
Explanation:
In this type of question, we will first calculate the distance covered in given time.
Distance covered will be : Number of revolutions x Circumference
So we will be having distance and time, from which we can calculate the speed.
Radius of wheel = 70 / 2 = 35 cm
Distance covered in 40 revolutions will be = 88 m
Distance covered in 1 sec =
- 4. The base of a triangle of 15cm and height is 12cm. The height of another triangle of double the area having the base 20cm is
Options- A. 16
- B. 17
- C. 18
- D. 20 Also asked in: Bank Exams, Bank PO
Correct Answer: 18
Explanation:
a = = 90 sq.cm
b = 2a =
h= 18cm
- 5. The inner circumference of a circular race track, 14m wide is 440m. Find the radius of the outer circle.
Options- A. 84m
- B. 24m
- C. 44m
- D. 54m Also asked in: Bank Exams, Bank PO
Correct Answer: 84m
Explanation:
let inner radius be r meters.
Therefore, Radius of outer circle = 70 + 14 = 84m
- 6. If 4 circles of equal radius are drawn with vertices of a square as the centre , the side of the square being 7 cm, find the area of the circles outside the square ?
Options- A. 119.21 sq cm
- B. 115.395 sq cm
- C. 104.214 sq cm
- D. 111.241 sq cm Also asked in: CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 115.395 sq cm
Explanation:
Because each vertice of the square is the center of a circle
(1/4) part of the total area of each circle inside of the square.
(3/4) part of the total area of each circle outside of the square.
Thus total area outside the square is
= 115.3955 sq cm.
- 7. A rectangular lawn of dimensions 80 m x 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m ?
Options- A. Rs. 3600
- B. Rs. 3800
- C. Rs. 3900
- D. Rs. 3700 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: Rs. 3900
Explanation:
Area = (l + b ? d) d
= (80 + 60 ? 10)10
=> 1300 sq.mts
=> 1300 x 3 = Rs.3900
- 8. The perimeter of a rectangle whose length is 6 metre more than its breadth is 84 metre. What is the area of the triangle whose base is equal to the diagonal of the rectangle and height is equal to the length of the rectangle?
Options- A. 360sq metre
- B. 380 sq metre
- C. 360 metre
- D. 400 sq metre Also asked in: Bank Exams, Bank PO, Bank Clerk
Correct Answer: 360sq metre
Explanation:
Let the breadth of rectangle be x m.
Then, the length of rectangle = (x+ 6) m
Perimeter of rectangle = 2 (x+x+ 6) m
Therefore, 2 (x+x+ 6) = 84 m
4x+ 12 = 84
4x= 84 ?12
4x = 72/4 = 18
Therefore, length of rectangle = 18 + 6 = 24 m = height of triangle
Diagonal of rectangle = ?(324+576) = 30 m = base of triangle
Therefore, are of triangle =1/2× base × height =1/2× 24 × 30 = 360 sq. m
- 9. Find the curved surface area (in cm²) of a hemisphere of diameter 28 cm
Options- A. 1152
- B. 1024
- C. 956
- D. 1232 Also asked in: Bank Exams
Correct Answer: 1232
- 10. The length and breadth of a rectangle is in the ratio of 3 : 1. If its perimeter is 96 m, then what is the length of the rectangle?
Options- A. 36m
- B. 24m
- C. 12m
- D. 48m Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 36m
Explanation:
Let the length of the rectangle be 3x and breadth be 1x
Given, perimeter = 96 m
2(l + b) = 96 (or) l + b = 48 (or) 3x + 1x = 48 (or) x = 12 m
Now, Length of the rectangle = 12 x 3 = 36 m
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