First of all we draw a rough sketch of given measurements :
Steps of Construction
(i) First of all we draw a line segment EF = 4.0 cm.
(ii) At point E and F construct ∠FEX = 90° and ∠EFY = 90° with EF respectively with rules and compass only.
(iii) An arc of 5 cm. from point E cut on FY and marked the point as G.
(iv) Similarly, an arc of 5 cm. is cut on EX and marked this point at H.
(v) Join EG, FG and GH.
Thus, we obtained required rectangle EFGH.