In the adjoining figure, show that ABCD is a parallelogram.

Calculate the area of gm ABCD.

In the given figure consider ABD and BCD


Area of ABD = x base x height = x AB x BD


= x 5 x 7 = -------- 1


Area of BCD = x base x height = x DC x DB


= x 5 x 7 = ----------2


From 1 and 2 we can tell that area of two triangle that is ABD and BCD are equal


Since the diagonal BD divides ABCD into two triangles of equal area and opp sides AB = DC


ABCD is a parallelogram


Area of parallelogram ABCD = Area of ABD + Area of BCD


= = cm2 = 35 cm2


Area of parallelogram ABCD = 35cm2

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