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Question 190
Construct a square of side 4 cm.

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Solution

We know that, all sides of a square are equal and each side is perpendicular to adjacent side.
So, AB = BC = CD = DA = 4 cm

Steps of Construction
Step I Draw ¯¯¯¯¯¯¯¯AB=4cm
Step II At B, draw ¯¯¯¯¯¯¯¯¯BX such that ABX=90.
Step III From ¯¯¯¯¯¯¯¯¯BX, cut-off BC = 4 cm
Step IV With centre C and radius = 4 cm, draw an arc.
Step V With centre A and radius = 4 cm, draw another arc to intersect the previous arc at D.
Step VI Join DA and CD.
Thus, ABCD is the required square.

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