Steps of construction
(i) Draw a line segment AB = 3 cm
(ii) Draw ∠ABX = 90º
(iii) Taking centre B and radius 4 cm draw an arc which intersect the BX at the point C.
(iv) Taking centre C and radius 3 cm draw an arc and taking centre A and radius 4 cm draw a another arc which
intersect the previous arc at the point D.
(v) Join AD and CD
Hence ABCD is required rectangle.
(vi) Extend AB to the point E such that AE = 7 cm
(vii) Draw a perpendicular bisector of AE which bisect AE at the point O.
(viii)Draw a semicircle taking centre O and radius OA which intersect BC at the point P
(ix) BP is the side of square
(x) Take the same arc PB, from B and P then from R which cuts at Q Join BR, RQ, PQ then
BPQR is a required square.
