Q3 of 27 Page 218

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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