First we draw a rough sketch of rectangle ABCD. Write down its dimension in rough figure.
We know that opposite sides of rectangle are equal and each angle is 90°.
Steps of Construction
(i) First draw a line segment AB = 6 cm.
(ii) Draw a ray AX with pencil and compass such that ∠BAX = 90°. Draw an arc of 4 cm with point A which intersects AX at D.
(iii) Similarly, draw ray BY such that ∠ABY = 90°. Draw an arc of 4 cm with point B which intersects BY at C.
(iv) Join CD.
Thus ABCD is the required rectangle.