Answer :

Given. ABCD is a parallelogram.

AB = CD ; BC = AD


AB = 8 cm, AC = 10 cm


ABC = 100°


Formula used. Area of parallelogram = base × height


Steps of Construction


Step 1 : Draw AB of length 8cm


Step 2 : Make an angle of 100° on point B and extend the ray BC’



Step 3 : Make an arc of 10cm from point A on ray BC’ and note the


Length of BC



Step 4 : Make an arc of 8cm from point C and another arc of same length of BC from point A



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



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



Area of parallelogram = base × height


= AB × DE


= 8cm × 4.6cm


= 36.8cm2


Conclusion. Hence; parallelogram ABCD is constructed and its area


is 36.8cm2


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