Question

Find the area of given quadrilateral
ABCD where AM and CN are perpendicular to BD
and 4AM = 2CN = BD = 12cm.​

Answer 1

Step-by-step explanation:

BD is one of the diagonals of a quadrilateral ABCD. AM and CN are the perpendiculars from A and C, respectively, on BD. Show that

ar(quad. ABCD)=

2

1

BD.(AM+CN)

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Answer

ar(quad. ABCD)=ar(△ABD)+ar(△BCD)

ar(quad. ABCD)=

2

1

(BD×AM)+

2

1

(BD×CN)

ar(quad. ABCD)=

2

1