Home
Class 9
MATHS
Two parallelograms ABCD and AEFB are dra...

Two parallelograms ABCD and AEFB are drawn on opposite sides of AB. Prove that `ar(||gmABCD)` + `ar(||gmAEFB)` = `ar(||gm EFCD)`

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

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

In the given figure ABCD is a rectangle and a parallelogram CDEF drawn on opposite side of CD. If ar(||gm ABFE)=60 cm^2 and ar(||gm CDEF)=32 cm^2 , find ar(rect ABCD).

In Fig. 9.13, ABCD is a parallelogram and EFCD is a rectangle. Also, AL bot DC . Prove that (i) ar (ABCD) = ar (EFCD) (ii) ar (ABCD) = DC × AL

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

A point is taken on the side BC of a parallelogram ABCD. AE and DC are produced to meet at F. Prove that : ar(ADF) = ar(ABFC)

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) = ?

Triangle ABC and DBC are on the same base BC with A,D on opposite sides of line BC, such that ar(triangleABC) = ar(triangleDBC) . Prove that BC bisects AD.

ABCD and AEFD are two parallelograms Prove that: ar(triangleAPE) : ar(trianglePFA) = ar(triangleQFD): ar(triangle PFD)

In the figure. ABCD is a parallelogram and O is any point on BC . Prove that ar (triangleABO) + ar (triangleDOC) = ar(triangleODA)

MODERN PUBLICATION-AREA OF PARALLELOGRAMS AND TRIANGLES-EXERCISE
  1. ABCD is parallelogram. X and Y are the mid-points of BC and CD respect...

    Text Solution

    |

  2. PQRS and PABC are two parallelograms of equal area. Prove that QC||BR

    Text Solution

    |

  3. Two parallelograms ABCD and AEFB are drawn on opposite sides of AB. Pr...

    Text Solution

    |

  4. A man who had a plot in the shape of a parallelogram divided it into t...

    Text Solution

    |

  5. A man who had a plot in the shape of a parallelogram divided it into t...

    Text Solution

    |

  6. A man who had a plot in the shape of a parallelogram divided it into t...

    Text Solution

    |

  7. In a class, the teacher gave two simiar cardboard pieces which are in ...

    Text Solution

    |

  8. In a class, the teacher gave two simiar cardboard pieces which are in ...

    Text Solution

    |

  9. If ar(||gm ABCD) = 252 cm^2, then find the area of triangleADB?

    Text Solution

    |

  10. In the figure. PQRS is a || gm. Find the value of y.

    Text Solution

    |

  11. If the length of the diagonal of a square is 8 cm, then find its area.

    Text Solution

    |

  12. The figure obtained by joining the midpoints of the adjacent sides of ...

    Text Solution

    |

  13. If the area of a parallelogram ABCD is 30cm^2, then find the length of...

    Text Solution

    |

  14. In the figure. ABCD is a ||gm and DN bot AB. If AB = 10 cm and DN =...

    Text Solution

    |

  15. ABCD is a rhombus AC = 8 cm, and DB = 6 cm. Find the length of BC.

    Text Solution

    |

  16. If ABC and BDE are two equilateral triangles such that D is the mid-po...

    Text Solution

    |

  17. P is any point on base BC of triangleABC and D is the mid-point of the...

    Text Solution

    |

  18. PQRS is a rectangle inscribed in a quadrant of a circle of radius 13 c...

    Text Solution

    |

  19. True/False Area of || gm= 1/2 basexx corresponding height.

    Text Solution

    |

  20. True/False If the area of a || gm with one side 24 cm and correspond...

    Text Solution

    |