Home
Class 14
MATHS
In a quadrilateral ABCD, it is given tha...

In a quadrilateral ABCD, it is given that BD = 16 cm. If `AL` perpendicular BD and CM perpendicular BD such that AL = 9 cm and CM = 7 cm, then area (quadrilateral ABCD) is equal to

A

`256 cm^2`

B

`128 cm^2`

C

`64 cm^2`

D

`96 cm^2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 12.1|45 Videos
  • GEOMETRY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 12.2|100 Videos
  • GEOMETRY

    ARIHANT SSC|Exercise EXERCISE(LEVEL 2)|52 Videos
  • FUNDAMENTALS

    ARIHANT SSC|Exercise TEST OF YOU - LEARNING - 2|40 Videos
  • HCF AND LCM

    ARIHANT SSC|Exercise Exercise Higher Skill Level Questions|18 Videos

Similar Questions

Explore conceptually related problems

In a quadrilateral ABCD, it is given that BD = 16 cm. If AL bot BD and CM bot BD such that AL = 9 cm and CM = 7 cm then ar(quad. ABCD) = ?

ABCD is a quadrilateral in which diagonal BD = 64 cm. AL bot BD" and "CM bot BD , such that AL=13.2cm" and "CM=16.8cm . The area of the quadrilateral ABCD is square centimeters is :

In the figure, ABCD is a quadrilateral BD = 20 cm. If AL bot BD and CM bot BD such that AL = 10 cm and CM = 5 cm, find the area of quad. ABCD.

In a quadrilateral ABCD, it is given that AB ||CD and the diagonals AC and BD are perpendicular to each other. Show that AD.BC >= AB. CD.

In the given figure ABCD is a quadrilateral in which diagonal BD=24 cm, AL bot BD and CM bot BD such that AL=9 cm and CM=12 cm. Calculate the area of the quadrilateral .

In the adjoining figure, ABCD is a quadrilateral in which diag. BD = 14 cm. If ALbotBD and CMbotBD such that AL = 8 cm and CM = 6 cm, find the area of quad. ABCD.

Find the area of quadrilateral ABCD in which diagonal BD = 24 cm. ALbotBD and CMbot BD .such that AL = 5 cm and CM = 8 cm.

In the given figure, ABCD is a quadrillateral in which BD = 14 cm, AL _|_ BD, CM _|_ BD such that AL = 6 cm and CM = 8 cm. Find the area of aquad. ABCD.

In quadrilateral ABCD, BM and DN are drawn perpendicular to AC such that BM = DN. If BR = 8 cm, then BD is

ARIHANT SSC-GEOMETRY-Fast Track Practice
  1. In the figure given below, YZ is parallel to MN, XY is parallel to LM ...

    Text Solution

    |

  2. In the figure given below, AB is parallel to CD, angle ABC = 65^@, ang...

    Text Solution

    |

  3. In a quadrilateral ABCD, it is given that BD = 16 cm. If AL perpendicu...

    Text Solution

    |

  4. Three angles of a quadrilateral are 80^(@), 95^(@) and 112^(@). Its f...

    Text Solution

    |

  5. In the given figure, ABCD is a parallelogram in which angle BAD = 75^@...

    Text Solution

    |

  6. If one angle of a parallelogram is 24^@ less than twice the smallest ...

    Text Solution

    |

  7. In an n-sided regular polygon, each exterior angle is 72^(@). Find the...

    Text Solution

    |

  8. The ratio of the numbers of sides of two regular polygons is 1:2. If e...

    Text Solution

    |

  9. If difference between exterior and interior angles of a polygon is 60^...

    Text Solution

    |

  10. In the quadrilateral ABCD shown below, angleDAB = angle DCX = 120^@. I...

    Text Solution

    |

  11. If the diagonals of a quadrilateral are equal and bisect each other at...

    Text Solution

    |

  12. In the figure below, PQRS is a parallelogram. AP, AQ, CR and CS are bi...

    Text Solution

    |

  13. In the figure given above, ABCD is a trepezium. EF is parallel to AD a...

    Text Solution

    |

  14. A quadrilateral ABCD is inscribed in a circle. If AB is parallel to CD...

    Text Solution

    |

  15. Let ABCD be a parallelogram. Let m and n be positive integers such tha...

    Text Solution

    |

  16. If ABCD be a rectangle and P, Q, R, S be the mid-points of AB, BC, CD ...

    Text Solution

    |

  17. Let X be any point within a square ABCD. On AX, a square, AXYZ is desc...

    Text Solution

    |

  18. ABCD is a quadrilateral such that BC = BA and CD gt AD. Which one of ...

    Text Solution

    |

  19. Two light rods AB = a + b and CD = a -b symmetrically lying on a horiz...

    Text Solution

    |

  20. AB is diametr of the circle with centre at O and P is any point on th...

    Text Solution

    |