Q. 84.7( 11 Votes )

# 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.

Answer :

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) = 98cm^{2}

Area of quad ABCD = 98cm^{2}

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