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## Geometry and Mensuration: Level 2 Test 3

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*Geometry and Mensuration: Level 2 Test 3*.You scored %%SCORE%% out of %%TOTAL%%.You correct answer percentage: %%PERCENTAGE%% .Your performance has been rated as %%RATING%% Your answers are highlighted below.

Question 1 |

The length of the three sides of a right angled triangle are (x–2) cm, x cm and (x+2) cm respectively. Then the value of x is

10 | |

8 | |

4 | |

0 |

Question 1 Explanation:

The longest side = x+2 cm.

Thus,

(x+2)

x

x

=> x =8

Thus,

(x+2)

^{2 }= x^{2 }+ (x-2)^{2}x

^{2}+ 4x + 4 = x^{2}+ x^{2}+ 4 – 4xx

^{2 }= 8x=> x =8

Question 2 |

ABC is an isosceles triangle with AB= AC. The side BA is produced to D such that AB= AD. IfABC= 30

^{o}, then BCD is equal to 45 ^{o} | |

90 ^{o} | |

30 ^{o} | |

60 ^{o} |

Question 3 |

If the height of a triangle is decreased 20% and its base is increased by 20% what will be the effect on its area?

No change | |

4% decrease | |

12% decrease | |

16% increase |

Question 3 Explanation:

Let the height be h cm and base be b cm.

The area of the triangle = ½ hb

The new height = 0.8h and base = 1.2b

The area of new triangle = 0.8 x 1.2 = 0.96 hb

The area of the triangle = ½ hb

The new height = 0.8h and base = 1.2b

The area of new triangle = 0.8 x 1.2 = 0.96 hb

Question 4 |

A circular ground whose diameter is 35 metres, has a 1.4 metre broad garden around it. What is the area of the garden in square metres?

160.16 | |

6.16 | |

1122.66 | |

Data inadequate |

Question 5 |

2 metres broad pathway is to be constructed around a rectangular plot. The area of the plot is 96 sq. m. The cost of construction is Rs.50 per sq. metre. Then find the total cost of production?

Rs.4, 800 | |

Rs.4, 000 | |

Rs.2400 | |

Data inadequate |

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