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- Question
- A rectangular plot is half as long again as it broad. The area of the lawn is 2/3 hectares. The length of the plot is?
Options- A. 100 meters
- B. 66.66 meters
- C. 33 meters
- D. (100/ ? 3 ) meters
- Correct Answer
- 100 meters
ExplanationLet breadth = b meters.
then, length = 3b/2 meters
? b x 3b/2 = 2/3 X 10000
? b2 = (4 x 10000)/9
? b = ( 2 X 100)/3 m
? Length = (3/2) x (2/3) x 100 m
= 100 m - 1. The cost of cultivating a square field at the rate of Rs. 160 per hectare is Rs. 1440. the cost of putting a fence around it at 75 paisa per meter is?
Options- A. Rs. 900
- B. Rs. 1800
- C. Rs. 360
- D. Rs. 810 Discuss
- 2. The length of hall is (4/3) times its breadth. If the area of hall be 300 square meters, the difference between the length and the breadth is?
Options- A. 15 meters
- B. 4 meters
- C. 3 meters
- D. None of these Discuss
- 3. If the base of a rectangular is increased by 10% and the area is unchanged , then the corresponding altitude must to be decreased by?
Options- A. 91/11 %
- B. 10%
- C. 11%
- D. 111/9 % Discuss
- 4. One side of a rectangular field is 4 meter and its diagonal is 5 meter. The area of the field is?
Options- A. 12 m2
- B. 15 m2
- C. 20 m 2
- D. 4?5 m2 Discuss
- 5. The length and breadth of a rectangular piece of land are in the ratio of 5:3, the owner spent Rs.3000 for surrounding it from all the sides at Rs.7.50 per meter. The different between its length and breadth is?
Options- A. 50 m
- B. 100 m
- C. 150 m
- D. 200 m Discuss
- 6. The ratio between the length and breadth of a rectangular field is 5:4. If the breadth is 20 meters less than the length, the perimeters of the field is?
Options- A. 260 m
- B. 280 m
- C. 360 m
- D. none of these Discuss
- 7. The area of a rectangle, 144 m long is the same as that of a square having a side 84 m long. The width of the rectangle is?
Options- A. 7 m
- B. 14 m
- C. 49 m
- D. Cannot be determined Discuss
- 8. The length of a plot is four times its breath. A playground measuring 1200 square meters occupies one third of the total area of a plot . what is the length of the plot in meters?
Options- A. 20
- B. 30
- C. 60
- D. None of these Discuss
- 9. The cost of papering the four walls of a room is Rs. 48. Each one of length, breadth and height of another room is double that of this room.The cost of papering the walls of the new room is?
Options- A. Rs. 384
- B. Rs. 298
- C. Rs. 192
- D. Rs. 96 Discuss
- 10. Area of a four walls a room is 168 Sq. meters . The breadth and height of a room are 8 meters and 6 meters respectively . The length of the room is?
Options- A. 14 meters
- B. 12 meters
- C. 6 meters
- D. 3.5 meters Discuss
Area problems
Search Results
Correct Answer: Rs. 900
Explanation:
Area = 1440 / 160 hectares
= 9 hectares
= 90000 m2
? One side = ?90000 m
= 300 m
So perimeter = 4 x 300 m
= 1200 m
? Cost of fencing = Rs (1200 x 75) / 100
= Rs. 900
Correct Answer: None of these
Explanation:
Let breadth = b meters.
Then, length = 4b/3 meters.
? b x 4b/3 = 300
? b2 = 300 x 3/4
? b2 = 225
? b = 15
Hence, required difference = [(Length) - (Breadth) ]
= 4b/3 - b
= b/3
= 15/3 m
= 5 m
Correct Answer: 91/11 %
Explanation:
Let base = b and altitude = h
Then, Area = b x h
But New base = 110b / 100 = 11b / 10
Let New altitude = H
Then,
Decrese = (h - 10h /11 )
= h / 11
? Required decrease per cent
= (h/11) x (1 / h ) x 100 %
= 91/11 %
Correct Answer: 12 m2
Explanation:
Other side = ?5 2 - 42
= ? 9
=3 m
So The area of the rectangular field = 4 x 3
= 12 m2
Correct Answer: 50 m
Explanation:
Let Length = 5y meters and breadth = 3y meters.
Then, perimeter = 2 x (5y + 3y ) m = 16y meters ...(i)
But perimeter = Total Cost / Rate = 3000 / 7.50 m = 400 m ...(ii)
from eqs. (i) and (ii)
16y = 400
? y = 25
? Length - Breadth = (5 x 25 - 3 x 25 ) m
= 2 x 25 m
= 50 m
Correct Answer: 360 m
Explanation:
Let length of rectangular field = 5y,
so width = 4y.
From question
5y - 4y = 20m
? x = 20m
? Length = (5 x 20)m = 100 m
Breadth = (4 x 20) m = 80 m
? Perimeter = 2 (100 + 80 ) m = 360 m
Correct Answer: 49 m
Explanation:
Area of the square = (84 + 84) m2
Area of the rectangle = (144 x width) m2
From question both area would be same,
? Width = (84 x 84) / 144 m = 49 m
Correct Answer: None of these
Explanation:
Area of the plot = (3 x 1200) m2
= 3600 m2
Let breadth = y meters
Then Length = 4y meters,
Now area = 4y x y = 3600 m2
? y2 = 900 m2
? y = 30 m
? Length of plot = 4y m
= (4 x 30) m
=120 m
Correct Answer: Rs. 192
Explanation:
Let the length, breadth and height of the room be l, b and h respectively
As per question
Cost of 2(l + b) x h = Rs. 48
? Required cost = cost of 2 (2l + 2b) x 2h
= cost of 4 [2(l + b) x h ]
= 4 x Rs. 48
= Rs. 192
Correct Answer: 6 meters
Explanation:
Area of a four walls = 2(l + 8) x 6 = 168m2
? (l + 8) = 14
? l = 14-8
= 6 meters
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