Home
Class 9
MATHS
In a ||gm ABCD, if P and Q are mid-point...

In a ||gm ABCD, if P and Q are mid-points of AB and CD respectively and ar(||gm ABCD) = `16 cm^2`, then ar(||gm APQD) = ?

A

`12 cm^2`

B

`8 cm^2`

C

`6 cm^2`

D

`9 cm^2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    MODERN PUBLICATION|Exercise EXERCISE|83 Videos

  • CIRCLES

    MODERN PUBLICATION|Exercise EXERCISE|94 Videos

Similar Questions

Explore conceptually related problems

True/False In a triangleABC,D,E,F are the mid-points of the sides BC,CA and AB respectively. If ar(triangleABC) = 16cm^2 , then ar(trap FBCE) is 8cm^2

ABCD is parallelogram. X and Y are the mid-points of BC and CD respectively. Prove that ar (DeltaAXY) =3/8 ar (||gm ABCD) .

ABCD is a trapezium in which AB || DC . M and N are the mid-points of AD and BC respectively. If AB = 12 cm, and MN = 14 cm, find CD.

In figure. D and E are the mid-points o sides. AB, AC respectively of triangleABC . If ar(triangleABC) = 256 cm^2 , then find ar(triangleBDE)

In a parallelogram ABCD, E and F are the mid points of sides AB and CD respectively show that the line segments AF and EC trisect the diagonal BD

ABCD is parallelogram. X and Y are the mid-points of BC and CD respectively. Prove that ar (DeltaAXY) =3/8 ar (||)^(gm) ABCD .

In Fig. , ABCD is a trapezium in which AB || DC and P, Q are mid-points of AD and BC respectively. If DQ and AB when produced meet at E, prove that PQ ||DC .

In triangleABC , it L and M are points on AB and AC respectively such that LM||BC. Prove that : ar(triangleLCM) = ar(triangleLBM)

In triangleABC , it L and M are points on AB and AC respectively such that LM||BC. Prove that : ar(triangleLBC) = ar(triangleMBC)

MODERN PUBLICATION-AREA OF PARALLELOGRAMS AND TRIANGLES-EXERCISE
  1. The lengths of the diagonals of a rhombus are 10 cm and 8.2 cm .Its ar...

    Text Solution

    |

  2. In a quad. ABCD it is given that BD = 16 cm. If AL bot BD and CM bot B...

    Text Solution

    |

  3. In a ||gm ABCD, if P and Q are mid-points of AB and CD respectively an...

    Text Solution

    |

  4. The median of a triangle divides it into two

    Text Solution

    |

  5. The mid-point of the sides of a triangle along with any of the vertice...

    Text Solution

    |

  6. Two parallelograms are on equal bases andbetween the same parallels. T...

    Text Solution

    |

  7. ABCD is a quadrilateral whose diagonal AC divides it into two parts, e...

    Text Solution

    |

  8. If a triangle and a parallelogram are on the same base and between sam...

    Text Solution

    |

  9. triangleABC~ trianglePQR. If ar(ABC) = 2.25 m^2. ar(PQR) = 6.25m^2,PQ ...

    Text Solution

    |

  10. If triangleABC~triangleDEF, BC = 4 cm, EF = 5 cm and ar(triangleABC) =...

    Text Solution

    |

  11. The area of two similar triangles ABC and PQR are 25 cm^2, 49cm^2. If ...

    Text Solution

    |

  12. What is the area of an equilateral triangle whose sides is 'a'?

    Text Solution

    |

  13. Tick the correct answer and justify : Sides of two similar triangles a...

    Text Solution

    |

  14. In the figure, find the area of ||gm.

    Text Solution

    |

  15. Two parallelograms are on equal bases andbetween the same parallels. T...

    Text Solution

    |

  16. In figure. D and E are the mid-points o sides. AB, AC respectively ...

    Text Solution

    |

  17. ABCD is a trapezium in which AB||DC, DC = 30 cm and AB = 50 cm. If X a...

    Text Solution

    |

  18. AP||BQ||CR. Prove that ar(AQC) = ar(PBR)

    Text Solution

    |

  19. ABCD is parallelogram. X and Y are the mid-points of BC and CD respect...

    Text Solution

    |

  20. If the medians of a triangleABC intersect at G, show that ar(AGB) = ar...

    Text Solution

    |