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.