Given. ABCD is a quadrilateral.
AB = 5 cm, BC = 6 cm, CD = 4 cm, DA = 5.5 cm, AC = 7 cm
Formula used. Area of triangle = × Base × Height
Steps for construction.
Step 1 : Draw a line AB of 5cm
Step 2 : Draw an arc of 7 cm from point A and 6 cm from point B
Step 3 : Make the intersection point C and join AC and BC
Step 4 : Draw an arc of 4cm from point C and 5.5cm 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)
= × 7cm × (4.2cm + 3.1cm)
Conclusion. Hence quadrilateral ABCD is constructed and its Area is
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