Home
Class 14
MATHS
In a trapezium ABCD, angleBAC=30^(@), an...

In a trapezium ABCD, `angleBAC=30^(@), angle CDF=45^(@), BC=6cm" and "AB=12cm`. Find the area of ABCD.

A

`18(3+sqrt3) cm^2`

B

`36sqrt3 cm^2`

C

`12(3+2sqrt3) cm^2`

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS AND GRAPHS

    QUANTUM CAT|Exercise QUESTION BANK|286 Videos
  • LOGARITHM

    QUANTUM CAT|Exercise QUESTION BANK|159 Videos

Similar Questions

Explore conceptually related problems

In a trapizium ABCD, angleBAE=30^(@), angleCDF=45^(@) , BC = 6 cm. and AB = 12 cm. then find area of trapizium ABCD.

In a Delta ABC, AB=12cm, angle ABC=30^(@), angle ACB=45^(@) find the area of Delta ABC .

In the figure.AB and DC are parallel sides of a trapezium ABCD and angle ADC=90^(@) given AB=15cm,CD=40cm and diagonal AC=41cm, calculate the area of trapezium ABCD

In the given figure, ABCD is a trapezium in which AD||BC, angle ABC = 90^(@), AD = 16 cm, AC = 41 cm and BC = 40 cm. Find the area of the trapezium.

ABCD is a parallelogram, angleDAB=30^(@) BC = 20 cm and AB = 40cm. Find the area of parallelogram :

The given figure shows a trapezium ABCD in which AB = 17 cm, BC = 8 cm and CD = 15 cm. Find the area of the trapezium.

QUANTUM CAT-GEOMETRY-QUESTION BANK
  1. Diagonals of a parallelogram are 8 m and 6 m respectively. If one of s...

    Text Solution

    |

  2. In the given figure AD = 15 cm, AB = 20 cm and BC = CD = 25 cm. Find t...

    Text Solution

    |

  3. In a trapezium ABCD, angleBAC=30^(@), angle CDF=45^(@), BC=6cm" and "A...

    Text Solution

    |

  4. Area of quadrilateral ACDE is 36 cm^(2), B is the mid-point of AC. Fin...

    Text Solution

    |

  5. A square and a rhombus have the same base and rhombus is inclined at 3...

    Text Solution

    |

  6. Find the area of a quadrilateral with sides 17,25, 30 and 28 cm and on...

    Text Solution

    |

  7. PQRS is a parallelogram in which angle P=70^@, angle Q=90^@ and angl...

    Text Solution

    |

  8. ABCD is a parallelogram in which diagonals AC and BD intereset at O. I...

    Text Solution

    |

  9. If ABCD is a rhombus, then :

    Text Solution

    |

  10. If P is a point within a rectangle ABCD, then:

    Text Solution

    |

  11. squareABCD is a parallelogram, AB = 14 cm, BC =18 cm and AC = 16 cm. F...

    Text Solution

    |

  12. In a trapezium ABCD, where AB||CD and diagonal AC intersects the other...

    Text Solution

    |

  13. In a trapezium ABCD, where AB||CD and diagonal AC intersects the other...

    Text Solution

    |

  14. Each interior angle of a regular polygon is 140^(@). The number sides ...

    Text Solution

    |

  15. Each angle of a regular hexagon is:

    Text Solution

    |

  16. If one of the interior angles of a regular polygon is equal to 5//6 ti...

    Text Solution

    |

  17. The sum of the interior angles of a polygon is 1260^(@). The number of...

    Text Solution

    |

  18. If each interior angle of a regular polygon is 3 times its exterior an...

    Text Solution

    |

  19. Difference between the interior and the exterior angles of regular pol...

    Text Solution

    |

  20. A polygon has 54 diagonals. The number of sides in the polygon is:

    Text Solution

    |