Here is the procedure for the required construction.
Follow the steps to construct the rectangle.
Step1. Draw a line segment AB of length 5 cm.
Step2. At B, draw BE^AB.
Step3. With B as centre and radius 3.5 cm, draw an arc, cutting BE at C.
Step4. With A as centre and radius 3.5 cm, draw an arc.
Step5. With C as centre ad radius 5 cm, draw another arc, cutting the previous arc at D.
Step6. Join AD and CD
Thus, ABCD is the required rectangle whose adjacent sides are 5 cm and 3.5 cm.