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

= 36.8cm^{2}

Conclusion. Hence; parallelogram ABCD is constructed and its area

is 36.8cm^{2}

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