In the adjoining figure, ABCD is a quadrilateral in which diag. BD = 14 cm. If AL BD and CM BD such that AL = 8 cm and CM = 6 cm, find the area of quad. ABCD.

Given


AL BD and CM BD


BD = 14 cm


AL = 8 cm


CM = 6 cm


Here,


Area of ABD = x BD x AM


Area of ABD = x BD x CM


Now area of Quad ABCD = Area of ABD + Area of BCD


= x BD x AL + x BD x CM


= x BD x (AL + CM)


Area of quad ABCD = x BD x (AL + CM) = x 14 x (8 + 6) = 98cm2


Area of quad ABCD = 98cm2

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