Question

calculate the area of a quadrilateral ABCD when length of the diagonal AC =10cm and the length of perpendicular from B And D on AC be 5cm and 6cm respectively

Answer 1

Draw a quadrilateral with Ac as a diagonal ( 10cm ).From vertics B , draw a perpendicular BL = 5 cm . similarly, from vertics D , draw perpendicular on Ac is DM = 6 cm .

Now, ar. (tri.ADC) = 1/2 × Dm(6)× Ac (10)
= 30 cm2
similarly;

Ar.( tri ABC) = 1/2 × BL(5) × Ac(10)

=: 25cm2.

Area of quad. ABCD = Ar. (ADC) + Ar.(ABC)

➖ 30 CM2 + 25 CM2
➖. 55Cm2.

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