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