## 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?

286 sq. m | |

275 sq. m | |

250 sq. m | |

300 sq. m |

**Mensuration 2D**

**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 |

**Mensuration 2D**

**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 |

**Mensuration 2D**

**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 |

**Mensuration 2D**

**Discuss it**

Question 4 Explanation:

2a

^{2}= 12^{2}a^{2}= 72Question 5 |

The diagonals of rhombus are 16 cm and 12 cm. Its perimeter is:

30 | |

34 | |

48 | |

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?

120 | |

108 | |

140 | |

160 |

**Mensuration 2D**

**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 |

**Mensuration 2D**

**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 |

**Mensuration 2D**

**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 |

**Mensuration 2D**

**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 15 questions to complete.