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- Question
- 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
- Correct Answer
- None of these
ExplanationArea 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 - 1. 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
- 2. 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
- 3. 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 Discuss
- 4. 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
- 5. 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
- 6. 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
- 7. 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
- 8. Area of a four wall of a room is 77 square meters . the length and breadth of room are 7.5 meters and 3.5 meters respectively . the height of the room is?
Options- A. 3.5 meters
- B. 5.4 meters
- C. 6.77 meters
- D. 7.7 meters Discuss
- 9. A rectangle has 15 cm as its length and 150 cm 2 as its area .Its area is increased to 1 1 / 3 times the original area by increasing only its length . Its new perimeter is?
Options- A. 50 cm
- B. 60 cm
- C. 70 cm
- D. 80 cm Discuss
- 10. The length of a rectangle room is 4 meters . if it can be partitioned into two equal square rooms . what is the length of each partition in meters?
Options- A. 1
- B. 2
- C. 4
- D. Data inadequate Discuss
Area problems
Search Results
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: 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: 100 meters
Explanation:
Let 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
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: 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
Correct Answer: 3.5 meters
Explanation:
Area of four walls = 2 x (l + b ) x h
? 2 x (7.5 + 3.5 ) x h = 77 m2
? h = 77 / (2 x 11) = 7/2
? h = 3.5 meters
Correct Answer: 60 cm
Explanation:
Breadth of the rectangle = (150/15) cm
= 10 cm
New area = (4/3 x 150) cm2
= 200 cm2
New length = 200/10 cm
=20 cm
New perimeters = 2(20 + 10) cm
= 60 cm
Correct Answer: 2
Explanation:
Let the width of the room be x members
Then, its area = (4x) m2
Area of each new square room = (2x)m2
Let the side of each new room = y meters
Then, y2 = 2x
Clearly, 2x is a complete square when x=2
? y2 = 4
? y = 2 m .
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