Answer :

Steps of construction:


i: Draw a line segment GL 6cm.



ii: With 4 cm radius from G draw an arc.



iii: From L take radius of 5cm and cut the arc drawn in step 2. Let the point of intersection be O.



iv: Take 10 cm from O draw an arc.



v: Take 7.5 cm radius from L and cut the arc drawn in step 4. Let the point of intersection of arcs be D.



vi: Join GD.



vii: GOLD is the required quadrilateral.



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