Q. 13.7( 3 Votes )

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Answer :

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)


= 25.55cm2


Conclusion. Hence quadrilateral ABCD is constructed and its Area is


25.55cm2


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