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

AB = 6 cm, BD = 8 cm and AD = 5 cm.

Given. ABCD is a parallelogram.

AB = CD ; BC = AD

AB = 6 cm, BD = 8 cm and AD = 5 cm

Formula used. Area of parallelogram = base × height

Steps of construction

Step 1 : Draw a line AB of 6cm

Step 2 : Make an arc of 8cm from point B and 5cm from point A

Step 3 : Intersection of Both the arcs gives point D and join AD , AB

Step 4 : Draw arc of 6cm and 5cm from point D and B respectively

Step 5 : Mark the intersection point as C then 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

= 6cm × 5cm

= 30cm²

Conclusion. Hence; parallelogram ABCD is constructed and its area is 30cm²