Home
Class 14
MATHS
The area of an isosceles trapezium is 17...

The area of an isosceles trapezium is 176 `cm^(2)` and the height is `(2)/(11)` of the sum of its parallel sides. If the ratio of the length of the parallel sides be `4 : 7` , then the length of a diagonal is :

A

28

B

`sqrt(137)`

C

`2sqrt(137)`

D

24

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    KIRAN PUBLICATION|Exercise TYPE - III|21 Videos

  • MENSURATION

    KIRAN PUBLICATION|Exercise TYPE - IV|169 Videos

  • MENSURATION

    KIRAN PUBLICATION|Exercise Test Yourself|28 Videos

  • LCM AND HCF

    KIRAN PUBLICATION|Exercise Test Yourself |18 Videos

  • MISCELLANEOUS

    KIRAN PUBLICATION|Exercise TYPE-VI|15 Videos

Similar Questions

Explore conceptually related problems

The area of a trapezium is 168 cm^(2) and its height is 8 cm. If one of the parallel sides is longer than the other by 6 cm. Find the length of each of the parallel sides.

The area of a trapezium is 180cm^(2) and its height is 12cm. If one of the parallel sides is double that of the other,find the two parallel sides.

The area of a trapezium is 475 cm^(2) and the height is 19 cm. Find the lengths of its two parallel sides, if one side is 4 cm greater than the other.

The area of a trapezium is 180cm^(2) and its height is 9cm .If one of the parallel sides is longer than the other by 6cm, the length of the longer of the parallel sides is

The area of a trapezium is 475 cm^(2) and its height is 19 cm. Find the lengths of its two parallel sides if one side is 4 cm greater than the other.

The area of a trapezium is 34cm^(2) and the length of one of the parallel sides is 10cm and its height is 4cm. Find the length of the other parallel side.

KIRAN PUBLICATION-MENSURATION-TYPE -II
  1. In trapezium ABCD, AB || CD and AB = 2 CD. Its diagonals intersect at ...

    Text Solution

    |

  2. Given that the ratio of altitudes of two triangles is 4 :5, ratio of t...

    Text Solution

    |

  3. The area of an isosceles trapezium is 176 cm^(2) and the height is (2...

    Text Solution

    |

  4. The area of a circle whose radius is the diagonal of a square whose ar...

    Text Solution

    |

  5. A rectangular carpet has an area of 120 m^(3) and a perimeter of 46 me...

    Text Solution

    |

  6. A plate on square base made of brass is of length x cm and width 1mm. ...

    Text Solution

    |

  7. The length of two parallel sides of a trapezium are 15 cm and 20 cm. I...

    Text Solution

    |

  8. ABCD is a square . Draw a triangle QBC on side BC considering BC as ba...

    Text Solution

    |

  9. The hypotenuse of a right-angled triangle is 39 cm and the difference ...

    Text Solution

    |

  10. The ratio between the length and the breadth of a rectangular park is ...

    Text Solution

    |

  11. A rectangular park 60 metre long and 40 mete wide has concrete crossro...

    Text Solution

    |

  12. A square and a regular hexagon are drawn such that all the vertices of...

    Text Solution

    |

  13. DeltaABC is similar to DeltaDEF. If area of DeltaABC is 9 sq.cm. and a...

    Text Solution

    |

  14. If D and E are the mid points of AB and AC respectively of DeltaABC, t...

    Text Solution

    |

  15. What is the area of dark (coloured) sector for the figure given below ...

    Text Solution

    |

  16. If two medians BE nd CF of a triangle ABC, intersect each other at G a...

    Text Solution

    |

  17. A room 16 m 5 cm long and 15m borad is to be fitted with equal square...

    Text Solution

    |

  18. Three equal circles of unit radius touch each other. Then, the area of...

    Text Solution

    |

  19. Area of the circle inscribed in a square of diagonal 6sqrt(2) cm.(in s...

    Text Solution

    |

  20. The length of a side of an equilateral triangle is 8 cm. The area of t...

    Text Solution

    |