Answer :

Given. ABCD is a parallelogram.

AB = CD ; BC = AD


AB = 8.5 cm, AD = 6.5 cm


DAB = 100°


Formula used. Area of parallelogram = base × height


Steps of construction


Step 1 : Draw a line AB of 8.5cm


Step 2 : Make an angle of 100° on point A and extend ray to AD’



Step 3 : Make an arc of 6.5cm on ray AD’ through point A and name the intersection point as D



Step 4 : Draw arc of 6.5cm and 8.5cm from point D and B Respectively



Step 5 : Mark the intersection point as C and join DC and BC



Step 6 : Draw a perpendicular on AB from point C and name the intersection point as E



Area of parallelogram = base × height


= AB × CE


= 8.5cm × 6.4cm


= 54.4cm2


Conclusion. Hence; parallelogram ABCD is constructed and its area


is 54.4cm2


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