Given. ABCD is a quadrilateral.
AB = 7 cm, BC = 6.5 cm,CD = 6 cm and DA = 4.5 cm,AC = 8 cm
Formula used. Area of triangle = × Base × Height
Steps for construction.
Step 1 : Draw a line AB of 7cm
Step 2 : Draw an arc of 8cm from point A and 6.5cm from point B
Step 3 : Make the intersection point C and join AC and BC
Step 4 : Draw an arc of 6cm from point C and 4.5cm from point A
Step 5 : Mark the intersection point D and join AD and DC
Step 6 : Draw perpendicular from B and D on AC and name the intersecting point as E and F respectively
Area of quadrilateral = Area of ΔACB + Area of ΔACD
= × BE × AC + × DF × AC
= × AC × (BE + DF)
= × 8cm × (3.3cm + 5.4cm)
Conclusion. Hence quadrilateral ABCD is constructed and its Area is
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