how to draw a rectangle whose two adjacent sides are 5 cm and 3.5 cm using a pair of compasses and ruler only?

Lalit Mehra , Meritnation Expert added an answer, on 8/3/11

Hi!

Here is the procedure for the required construction.

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.

Cheers!

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