Mensuration 2D
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?
286 sq. m | |
275 sq. m | |
250 sq. m | |
300 sq. m |
Discuss it
Question 2 |
What is the area of a triangular field of dimensions 3 4 and 5m?
6 sq. m | |
8 sq. m | |
14 sq. m | |
18 sq. m |
Discuss it
Question 2 Explanation:
given is a right angled triangle
½ * 3* 4 = 6 m2
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:
216 m | |
206 m | |
180 m | |
160 m |
Discuss it
Question 3 Explanation:
5x * 4x = 2880
x2 = 144
x= 12
perimeter = 60*2+48*2 = 216
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?
68 sq. m | |
83 sq . m | |
72 sq. m | |
80 sq. m |
Discuss it
Question 4 Explanation:
2a2 = 122
a2 = 72
Question 5 |
The diagonals of rhombus are 16 cm and 12 cm. Its perimeter is:
30 | |
34 | |
48 | |
40 |
Discuss it
Question 6 |
The sides of rectangular garden are 25 m x 49 m. What is the perimeter of a square garden with same area?
120 | |
108 | |
140 | |
160 |
Discuss it
Question 6 Explanation:
area of square L2= 25 m x 49 m
L = 5*7 = 35
Perimeter of square = 35*4 = 140 meters
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
21 | |
121 | |
40 | |
60 |
Discuss it
Question 7 Explanation:
Area of square = L2
=(1.1L)2 = 1.21 L2
=21 %
=(1.1L)2 = 1.21 L2
=21 %
Question 9 |
The perimeter of a field of length 100 m.and breadth is 50 m is:
500 m | |
400 m | |
300 m | |
200 m |
Discuss it
Question 10 |
If the radius of a circle is increased by 6%, then the area is increased by:
14.96 | |
11.24 | |
13.64 | |
12.36 |
Discuss it
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.
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