Given diagonal = 8 cm
Steps:
(i) Drawn a line segment ET = 8 cm.
(ii) Drawn the perpendicular bisector XY to ET. Let it bisect ET at O.
(iii) With O as centre, drawn an arc of radius 4 cm on either side of O which cut OX at R and OY at S
(iv) Joined ES, ST, TR and ER.
(v) REST is the required square.
Calculation of Area :
Area of the square REST = a2 sq.units
= 5.7 × 5.7 cm2
= 32.49 cm2