Area problems
- 1. The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field?
Options- A. 20 m
- B. 30 m
- C. 40 m
- D. 50 m Also asked in: Bank Exams, Bank PO
Correct Answer: 20 m
Explanation:
Let breadth=x meters. Then, Length = meters
Given that,
=> x = 20
Breadth = 20
- 2. A circular piece of thin wire is converted into a rhombus of side 11 cm. Find the diameter of the circular piece?
Options- A. 28 cm
- B. 3.5 cm
- C. 7 cm
- D. 14 cm Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 14 cm
Explanation:
Circular piece is 4 x 11 = 44 cm long,
Then Circumference of circle is given by,
44 = pi x D, where D is the diameter
D = 44 / pi
Take pi = 22 / 7, then
D = 44 / (22/7) = (44 x 7) / 22
D = 14 cm.
- 3. The area of a circle of radius 5 is numerically what percent its circumference?
Options- A. 150%
- B. 250%
- C. 350%
- D. 450% Also asked in: Bank Exams, Bank PO
Correct Answer: 250%
Explanation:
required percentage = %
- 4. Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 9856 sq meters.
Options- A. 56m
- B. 16m
- C. 14m
- D. 76m Also asked in: Bank Exams, Bank PO
Correct Answer: 56m
Explanation:
clearly the cow will graze a circular field of area 9856 sq m and radius equal to the length of the rope.
Let the length of the rope be r mts
then,
- 5. Square units 13 by 9 of an office area is
Options- A. 97
- B. 117
- C. 107
- D. 127 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 117
Explanation:
Square units 13 by 9 of an office means office of length 13 units and breadth 9 units.
Now its area is 13x 9 = 117 square units or units square.
- 6. Find the area of the trapezium, whose parallel sides are 12 cm and 10 cm, and distance between the parallel sides is 14 cm?
Options- A. 121 sq.com
- B. 154 sq.com
- C. 186 sq.com
- D. 164 sq.com Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 154 sq.com
Explanation:
We know that,
Area of trapezium = 1/2 x (Sum of parallel sides) x (Distance between Parallel sides)
= 1/2 x (12 + 10) x 14
= 22 x 14/2
= 22 x 7
= 154 sq. cm
- 7. The area of the circle is 220 sq.m, the area of the square inscribed in a circle will be
Options- A. 49
- B. 70
- C. 140
- D. 150 Also asked in: Bank Exams, Bank PO
Correct Answer: 140
Explanation:
area of a square =
- 8. The sides of a right-angled triangle are 12 cm, 16 cm, 20 cm respectively. A new right angle Δ is made by joining the midpoints of all the sides. This process continues for infinite then calculate the sum of the areas of all the triangles so made.
Options- A. 312 sq.cm
- B. 128 sq.cm
- C. 412 sq.cm
- D. 246 sq.cm Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 128 sq.cm
- 9. The difference between two parallel sides of a trapezium is 4 cm. perpendicular distance between them is 19 cm. If the area of the trapezium is 475 find the lengths of the parallel sides.
Options- A. 27 and 23
- B. 24 and 23
- C. 25 and 23
- D. 22 and 23 Also asked in: Bank Exams, Bank PO
Correct Answer: 27 and 23
Explanation:
Let the two parallel sides of the trapezium be a cm and b cm.
Then, a - b = 4
And,
Solving (i) and (ii), we get: a = 27, b = 23.
So, the two parallel sides are 27 cm and 23 cm.
- 10. The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
Options- A. 20
- B. 200
- C. 300
- D. 400 Also asked in: Bank Exams, Bank PO
Correct Answer: 200
Explanation:
Let length of plot = L meters, then breadth = L - 20 meters
and perimeter = 2[L + L - 20] = [4L - 40] meters
[4L - 40] * 26.50 = 5300
[4L - 40] = 5300 / 26.50 = 200
4L = 240
L = 240/4= 60 meters.
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