Mensuration 2D

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Question 1
The area of the square garden is 625 sq.m.What is the area of a path of width 2.5 m around it if the path is out side the garden?
A
286 sq. m
B
275 sq. m
C
250 sq. m
D
300 sq. m
Mensuration 2D    
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Question 2
What is the area of a triangular field of dimensions 3 4 and 5m?
A
6 sq. m
B
8 sq. m
C
14 sq. m
D
18 sq. m
Mensuration 2D    
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Question 2 Explanation: 
given is a right angled triangle
½ * 3* 4 = 6 m2
Question 3
The area of the rectangle is 2880 sq.m. The ratio of the sides is 5:4, the perimeter is:
A
216 m
B
206 m
C
180 m
D
160 m
Mensuration 2D    
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Question 3 Explanation: 
5x * 4x = 2880
x2 = 144
x= 12
perimeter = 60*2+48*2 = 216
Question 4
If diagonal of a square is 12. What is the area of the square?
A
68 sq. m
B
83 sq . m
C
72 sq. m
D
80 sq. m
Mensuration 2D    
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Question 4 Explanation: 
2a2 = 122 a2 = 72
Question 5
The diagonals of rhombus are 16 cm and 12 cm. Its perimeter is:
A
30
B
34
C
48
D
40
Mensuration 2D    
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Question 6
The sides of rectangular garden are 25 m x 49 m. What is the perimeter of a square garden with same area?
A
120
B
108
C
140
D
160
Mensuration 2D    
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Question 6 Explanation: 
area of square L2= 25 m x 49 m
L = 5*7 = 35
Perimeter of square = 35*4 = 140 meters
Question 7
If an error of 10% excess is made in calculating the side of a square, the % error in its area is
A
21
B
121
C
40
D
60
Mensuration 2D    
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Question 7 Explanation: 
Area of square = L2
=(1.1L)2 = 1.21 L2
=21 %
Question 8
What is the radius of a circular field of area 616 sq.m?
A
42
B
40
C
35
D
30
Mensuration 2D    
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Question 9
The perimeter of a field of length 100 m.and breadth is 50 m is:
A
500 m
B
400 m
C
300 m
D
200 m
Mensuration 2D    
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Question 10
If the radius of a circle is increased by 6%, then the area is increased by:
A
14.96
B
11.24
C
13.64
D
12.36
Mensuration 2D    
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Question 10 Explanation: 
New Area of the Circle = Pi * (R + 6% of R)^2 = Pi * (R + 0.06R)^2 = Pi * (1.06R)^2 = Pi * R^2 * (1.06)^2. Therefore, percentage increase in Area = [ Pi * R^2 * (1.06)^2 - Pi * R^2 ]/ (Pi * R^2) = 1.06^2 - 1 = 0.1236 = 12.36%
There are 15 questions to complete.
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