Home
Class 9
MATHS
In the trapezium ABCD, AB || DC (ABltDC)...

In the trapezium ABCD, AB || DC `(ABltDC)andAEbotDC`. If AB = a, DC = b and AE = h, then the area of the trapezium ABCD is

A

(a + b) `xx` h sq.units

B

`1/2(a+b)xx` h sq.units

C

(a + h) `xx` b sq. units

D

`1/2(a+h)xx` b sq. units

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • THEOREMS ON AREAS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-3|40 Videos
  • SET THEORY

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1|37 Videos
  • THEOREMS ON CONCURRENCE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE Long-answer type questions|17 Videos

Similar Questions

Explore conceptually related problems

In the trapezium ABCD, AD || BC. X and Y are the mid-points of AB and DC. If XY = 10 cm, then find the sum of the length of its parallel sides.

D, E and F are the mid-points of the sides of BC, CA and AB of the DeltaABC . If DeltaABC=16Sq.cm., then the area of the trapezium FBCE is-

In the trapezium ABCD, AB || DC. The diagonals AC and BD of it intersects each other at O. Prove that DeltaAOD=DeltaBOC.

If the length of the diagonals AC and BD of a rhombus ABCD be a cm and b cm respectively, then the area of the rhombus ABCD is

Diagonals of a trapezium ABCD with AB || DC, intersect each other at the point ‘O’. If AB = 2CD, find the ratio of areas of triangles AOB and COD.

In the trapezium ABCD , AB||DC and the two points P and Q are situated on the sides AD and BC in such a way that PQ||DC , if PD=18cm , BQ=35cm , QC=15cm , then the length of AD is.

ABCD is a cyclic trapezium with AD∥BC. If ∠B=70 then determine other three angles of the trapezium.

In the quadrilateral ABCD , AD = BC and angleBAD = angleABC . Prove that the quadrilateral is an isosceles trapezium.

In DeltaABC, angleABC = 90^@ , AD = DC, AB = 12cm and BC = 6.5 cm. Find the area of DeltaADB .

CALCUTTA BOOK HOUSE-THEOREMS ON AREAS-EXERCISE-3
  1. P is any point on the side BC of the parallelogram ABCD. Extended DP i...

    Text Solution

    |

  2. A parallelogram of area P, a rhombus of area R and a triangle of area ...

    Text Solution

    |

  3. In the trapezium ABCD, AB || DC (ABltDC)andAEbotDC. If AB = a, DC = b ...

    Text Solution

    |

  4. P, Q, R and S are the mid-point of the sides AB, BC, CD and DA of the ...

    Text Solution

    |

  5. If the length of the diagonals AC and BD of a rhombus ABCD be a cm and...

    Text Solution

    |

  6. E and F are the mid-points of the sides AB and DC of the parallelogram...

    Text Solution

    |

  7. The points B, C and R of the parallelograms ABCD and CPQR are collinea...

    Text Solution

    |

  8. ABCD is a quadrilateral. AP is a line segment drawn through A and para...

    Text Solution

    |

  9. AD is a medium of DeltaABC. If the area of DeltaACD be x sq.cm, then f...

    Text Solution

    |

  10. Find the area of a parallelogram having base 15 cm and hight 8.2 cm.

    Text Solution

    |

  11. The ratio of the base and height of a triangle is 7 : 6, the sum of it...

    Text Solution

    |

  12. O is any point inside the equilateral triangle ABC. The perpendicular ...

    Text Solution

    |

  13. Find the co ordinate on the Y axis cut by the straight line 2x+3y=12

    Text Solution

    |

  14. The area of the parallelogram ABCD is 44 sq.cm. P is the mid-point of ...

    Text Solution

    |

  15. A square and a rhombus stand on the same base of length 10 cms. Show t...

    Text Solution

    |

  16. In the isosceles DeltaABC, AB = AC , O is any point on the side BC. OP...

    Text Solution

    |

  17. In the trapezium ABCD, AB || DC. The diagonals AC and BD of it interse...

    Text Solution

    |

  18. Prove that the line segment joining the mid-points of the lateral side...

    Text Solution

    |

  19. Side of a equilateral triangle is 7 ,find its hight.

    Text Solution

    |

  20. If a square and a rhombus lie on the same base, then find logically wh...

    Text Solution

    |