we know that each angle of a rectangle is right angle (i.e., `90^(@)`) and its opposite sides are equal and parallel.
To construct a rectangle whose adjacent sides are of lengths 5cm and `3.5cm` use the following steps
(i) Draw a line segment BC of length 5cm .
(ii) Now, generate an angle of `90^(@)` at points B and C of the line segment BC and plot the parallel lines BX and CY at these points.
(iii) Cut AB and CD of length `3.5cm` from BX and CY, respectively.
(iv) Draw and angle `90^(@)` at one of the point A or D and join both points by a line segment AD of length 5cm.
Thus , ABCD is the required rectangle with adjacent sides of length 5cm and `3.5cm`
Alternate Method
To construct a rectangle ABCD whose adjacent sides are of lengths 5cm and `3.5cm`, use the following steps
(i) Draw a line segment BC of length 5cm.
(ii) Now, draw an `angleXBC - 90^(@)` at point B of line segment BC.
(iii) Cut a line segment AB = `3.5cm` from the ray BX and join AC.
(iv) Now, from A, point D is at a distance of 5cm. So, having A as centre draw an arc of radius 5cm.
(v) From C, point D is at a distance of `3.5cm` . So, having C as centre draw an arc of radius `3.5cm` which intersect previous arc (obtained in step iv) at D.
(vi) join AD and CD.
Thus, ABCD is the required rectangle with adjacent sides of length 5cm and `3.5cm` .
