- This is an assessment test.
- These tests focus on geometry and mensuration and are meant to indicate your preparation level for the subject.
- Kindly take the tests in this series with a pre-defined schedule.

## Geometry and Mensuration: Test 29

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*Geometry and Mensuration: Test 29*.You scored %%SCORE%% out of %%TOTAL%%.You correct answer percentage: %%PERCENTAGE%% .Your performance has been rated as %%RATING%%
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Question 1 |

The area of a Î”ABC is equal to area of square of side length 6 cm. What is the length of the altitude to AB where AB = 9 cm?

18 cm | |

14 cm | |

12 cm | |

8 cm |

Question 1 Explanation:

$ \begin{array}{l}\frac{1}{2}altitude\times 9=36\\=>altitude=8\end{array}$

Question 2 |

What is the area of an equilateral triangle having altitude equal to 2âˆš3 cm?

âˆš3 sq cm | |

2âˆš3 sq cm | |

3âˆš3 sq cm | |

4âˆš3 sq cm |

Question 2 Explanation:

$ \begin{array}{l}Let\text{ }the\text{ }side\text{ }of\text{ }the\text{ }triangle\text{ }=\text{ }x\text{ c}m\\\frac{\sqrt{3}}{4}{{x}^{2}}=\frac{1}{2}\times 2\sqrt{3}x\\=>x=4.\\Area=4\sqrt{3}sq.cm.\end{array}$

Question 3 |

A lawn 30m long and 16m wide is surrounded by a path 2 m wide. What is the area of the path?

200 m ^{2} | |

280 m ^{2} | |

300 m ^{2} | |

320 m ^{2} |

Question 4 |

A circle circumscribes a rectangle with side 16 cm and 12 cm. What is the area of the circle?

48 Ï€ sq cm | |

50 Ï€ sq cm | |

100Ï€ sq cm | |

200Ï€ sq cm |

Question 5 |

The lengths of two sides of a right angled triangle which contain the right angle are â€˜aâ€™ and â€˜bâ€™ respectively. Three squares are drawn on the three sides of the triangle on the outer side. What is the total area of the triangle and the three squares?

2(a ^{2} + b^{2}) +ab | |

2(a ^{2} +b^{2})+ 2.5 ab | |

2(a ^{2} +b^{2})+ 0.5ab | |

2.5 (a ^{2} + b^{2}) |

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