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GIVEN : In Rectangle FLAG,

FL = 6 cm

LA = 4.2 cm

PROCEDURE :

Step 1 : draw a rough sketch of the Rectangle FLAG and mark the given measurements.

Since the given measurements are not sufficient for construction , we shall find the required measurements using the properties of the RECTANGLE.

As opposite sides of rectangle are equal so, FL = AG = 6cm and LA = GF = 4.2 cm and ∠F = ∠L = ∠A = ∠G = 90°.

Step 2 : construct ΔFLA using SAS property of construction model with FL = 6cm , ∠L = 90^o and LA = 4.2 cm.

Step 3 : construct ∠F = 90° and draw FY || LA.

Step 4 : construct ∠A = 90° and draw AN to meet FY at G.

FLAG is the required quadrilateral (ie. rectangle).