Draw parallelogram ABCD with the following measurements and calculate its area.

AB = 7 cm, BC = 5 cm and ABC = 60°.

Given. ABCD is a parallelogram.

AB = CD ; BC = AD , AB = 7 cm, BC = 5 cm , ABC = 60°


Formula used. Area of parallelogram = base × height


Steps of construction


Step 1 : Draw a line AB of 7cm


Step 2 : Make an angle of 60° on point B and extend ray to BC’



Step 3 : Make an arc of 5cm on ray BC’ from point B and name the


intersection point as C



Step 4 : Draw arc of 5cm and 7cm from point A and C respectively



Step 5 : Mark the intersection point as D and join AD and CD



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



Area of parallelogram = base × height


= AB × CE


= 7cm × 4.3cm


= 30.1cm2


Conclusion. Hence; parallelogram ABCD is constructed and its area


is 30.1cm2


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