# Mensuration 2D

12
 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 14 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 16 questions to complete.
12
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