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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Tamilnadu - Math Term-1