Answer :

Given. ABCD is a parallelogram.

AB = CD ; BC = AD


AB = 5 cm, BC = 4 cm, AC = 7 cm


Formula used. Area of parallelogram = base × height


Steps of construction


Step 1 : Draw a line AB of 5cm


Step 2 : Make an arc of 7cm from point A and 4cm from point B



Step 3 : Intersection of Both the arcs gives point C then join


AB and AC



Step 4 : Draw arc of 4cm and 5cm from point A and C respectively



Step 5 : Mark the intersection point as D and join DC and DA



Step 6 : Draw a perpendicular on AB from point D and name the


intersection point as E



Area of parallelogram = base × height


= AB × DE


= 5cm × 3.9cm


= 19.5cm2


Conclusion. Hence; parallelogram ABCD is constructed and its area


is 19.5cm2


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