First of all we draw a rough sketch of square ABCD of given measurements.
By properties of square we know that diagonals of a square are equal at bisect each other,
∵PO = 2.8 cm.
∴PR = 2 x PO
= 2 x 2.8
= 5.6 cm.
Steps of Construction
(i) We draw a line segment of diagonal PR = 5.6 cm.
(ii) Draw perpendicular bisector XY of PR which intersect at point O.
(iii) Taking O as centre, draw an arc of radius 2.8 cm., both sides of PR which cuts perpendicular bisector XY at Q and S.
(iv) Join PQ, QR, RS and SP.
(v) Thus, we obtained required square PQRS.