Area problems
- 1. The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre.
Options- A. Rs.15500
- B. Rs.16500
- C. Rs.17500
- D. Rs.18500 Also asked in: Bank Exams, Bank PO
Correct Answer: Rs.16500
Explanation:
Area = 5.5 × 3.75 sq. metre.
Cost for 1 sq. metre. = Rs. 800
Hence total cost = 5.5 × 3.75 × 800 = 5.5 × 3000 = Rs. 16500
- 2. The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:
Options- A. 2520
- B. 2420
- C. 2320
- D. 2620 Also asked in: Bank Exams, Bank PO
Correct Answer: 2520
Explanation:
We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.
Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) = 2520 sq.m
- 3. The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle
Options- A. 44
- B. 22
- C. 33
- D. 84 Also asked in: Bank Exams, Bank PO
Correct Answer: 84
Explanation:
Let inner radius be r metres. Then, 2 r = 440 ; r = = 70 m.
Radius of outer circle = (70 + 14) m = 84 m.
- 4. The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. Find the length of the rectangle?
Options- A. 10cm
- B. 20cm
- C. 30cm
- D. 40cm Also asked in: Bank Exams, Bank PO
Correct Answer: 20cm
Explanation:
Let the breadth of the given rectangle be x then length is 2x.
thus area of the given rect is
after dec 5cm from length and inc 5cm breadth , new lenght becomes 2x-5 and breadth is x+5.thus new area =(2x-5)(x+5)=
since new area is 75 units greater than original area thus
5x=75+25
5x=100
therefore x=20
hence length of the rectangle is 40 cm.
- 5. 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
- 6. 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.
- 7. 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 = %
- 8. 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,
- 9. 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.
- 10. 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
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