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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