Mathematics and Science Q34

0. ABCD is a quadrilateral in which BD = 40 cm. The lengths of the perpendiculars drawn from the opposite vertices on BD are 16 cm and 12 cm. The area of the quadrilateral (in cm2 ) is

  • Option : A
  • Explanation :


    Given, BD = 40 cm, AM =16 cm , NC=12cm
    ∴ Here, BD divides quadrilateral in two triangles.
    Now,
    Area of ΔABD = 1/2 x BD xAM
    1/2 x 40 x 16 =320 cm∧2.
    ∴ Area of  ΔBCD = 1/2 x BD x NC
    =1/2 x40 x12=240 cm∧2
    Area of quadrilateral
    ABCD = 320 + 240 = 560 cm∧2

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