Calculate the area of a quadrilateral ABCD when length of the diagonal AC = 10 cm and the lengths of perpendiculars from B and D on AC 5 cm and 6 cm be respectively.

Since the quadrilateral can be divided into two triangles, therefore the area of the figure is equal to the sum of these triangles.

As we know that,

A1 = 25 sq.cm

Similarly,

A2 = 30 sq.cm

Required Area = A1 + A2

25 + 30

55 sq.cm

the area of quadrilateral ABCD is 55 sq.cm

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