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- Question
- The length and breadth of a square are increased by 40% and 30% respectively. The area of a resulting rectangle exceeds the area of the square by?
Options- A. 42%
- B. 62%
- C. 82%
- D. None of these
- Correct Answer
- 82%
ExplanationLet the side of the square = 100 m
So area of square = 100 x 100 = 10000.
New length = 140 m,
New breadth = 130 m
Increase in area = [(140 x 130) - (100 x 100)] m2
= 8200 m2
? Required increase percent = (8200/ 10000) x 100 % = 82% - 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. A hall 20 m long and 15 m broad is surrounded by a verandah of uniform width of 2.5 m. the cost of flooring the verandah at the rate of 3.50 per sq. meter is?
Options- A. Rs. 500
- B. Rs. 600
- C. Rs. 700
- D. Rs. 800 Discuss
- 7. Of the square fields the area of the one is 1 hectare, while the another one is broader by 1% the difference is area is?
Options- A. 101 sq. metres
- B. 201 sq. metres
- C. 100 sq. metres
- D. 200 sq. metres Discuss
- 8. If the ratio of the area of two square is 9 : 1 the ratio of their perimeters is?
Options- A. 9:1
- B. 3:1
- C. 3:4
- D. 1:3 Discuss
- 9. The length of a rectangular field is increased by 60 % . By what percent would the width have to be decreased to maintain the same area?
Options- A. 371/2%
- B. 60%
- C. 75%
- D. 120% Discuss
- 10. The area of a rectangle is thrice that of square. Length of the rectangle is 40 cm and the breadth of the rectangle is ( 3 / 2 ) times that of the side of the square. The side of the square in cm is?
Options- A. 15
- B. 20
- C. 30
- D. 60 Discuss
Area problems
Search Results
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 .
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: 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: 6 meters
Explanation:
Area of a four walls = 2(l + 8) x 6 = 168m2
? (l + 8) = 14
? l = 14-8
= 6 meters
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: Rs. 700
Explanation:
Area of verandah = [(25 x 20) -(20 x 15)] m2
= 200 m2
? Cost of flooring = Rs. (200 x 3.50)
= Rs. 700
Correct Answer: 201 sq. metres
Explanation:
Area of the square field = 1 hectare
= 10000 m2
Side of the square = ? 10000 m = 100 m
Side of another square field = 100 + 1 = 101 m
? Required difference of area
= [(101)2 - (100)2] m2
=[(101 + 100 ) (101 - 100) ] m2
= 201 m2
Correct Answer: 3:1
Explanation:
Let the area of square be (9x)2 m2 and (x2) m2
Then, their sides are (3x) m and x metres respectively
? Ratio of their perimeters = 12x / 4x
=3:1
Correct Answer: 371/2%
Explanation:
Let length = L and breadth = B
Let , New breadth = Z
Then, New length = ( 160 / 100) L.
= 8L / 5
? 8L / 5 x Z = LB
or Z = 5B/8
Decrease in breadth = (B-5B/8)
= 3B/8
? Decrease in percent = (3B/8 x1/B ) x 100 %
= 371/2%
Correct Answer: 20
Explanation:
Let the side of the square = y cm
Then, breadth of the rectangle = 3y/2 cm
? Area of rectangle = (40 x 3y/2) cm2
= 60y cm2
? 60y = 3y2
? y = 20
Hence, the side of the square = 20 cm
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