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## Geometry and Mensuration: Level 2 Test 4

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Question 1 |

$ \displaystyle \begin{array}{l}Suppose\,\vartriangle ABC\text{ }be\text{ }a\text{ }right-angled\text{ }triangle\text{ }where\,\angle A=\text{ }{{90}^{o}}and\,AD\bot BC.\text{ }\\If\,\vartriangle ABC=\text{ }40\text{ }c{{m}^{2}},\vartriangle ACD=\text{ }10\text{ }c{{m}^{2}}and\,\,\overline{AC}=\text{ }9\text{ }cm,\text{ }\\then\text{ }the\text{ }length\text{ }of\text{ }BC\text{ }is\end{array}$

12 cm | |

18 cm | |

4 cm | |

6 cm |

Question 1 Explanation:

The area of ABD = 40-10 = 30 .

Therefore,AB

Thus

BC

Therefore BC = 18 approx

Therefore,AB

^{2}= (9^{2}x30)/10 = 243Thus

BC

^{2 }=243 +81 =325Therefore BC = 18 approx

Question 2 |

If length of the rectangle is increased by 50% and breadth is decreased by 20%. Then what is the percentage change in the area?

By decrease 20% | |

20% increase | |

80% increase | |

30% decrease |

Question 3 |

The length and breadth of the floor of a room are 20 feet and 10 feet respectively. Square tiles of 2 feet length of three different colours are to be laid on the floor. Black tiles are laid in the first row on all sides. If white titles are laid in the one-third of the remaining and blue tiles in the rest, how many blue tiles will be there?

16 | |

32 | |

48 | |

24 |

Question 4 |

The sum of the interior angles of a polygon is 1620

^{o}. The numbers of sides of the polygon are9 | |

11 | |

15 | |

12 |

Question 4 Explanation:

180 (no. of sides -2 ) = 1620

=> No of sides = (162 /18)+2

=> No of sides = 11.

Correct option is (b)

=> No of sides = (162 /18)+2

=> No of sides = 11.

Correct option is (b)

Question 5 |

In a triangle ABC, BAC= 90

^{o}and AD is perpendicular to BC. If AD= 6 cm and BD = 4cm, then the length of BC is8 cm | |

10 cm | |

9 cm | |

13 cm |

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