Answer :

A rough sketch of this parallelogram:

(a) Draw a line segment OK of 5.5 cm and a ray at point K at a convenient angle

(b) Draw a ray at point O parallel to the ray at K

For parallel line.

i) Extend KO.

ii) Put compass needle on K and with some suitable radius draw an arc cutting KO and KA.

iii)With same radius draw another arc cutting extended KO by putting compass needle on O.

iv) Now put compass needle and pencil on cuts made by first arc on KO and KA. take it as new radius.

v) With same radius put compass needle on cut made by previous arc on extended KO and draw another arc cutting previous arc.

vi) Draw a ray from O passing this intersection point of arcs.

vii) With radius= 4.2 cm in compass draw arc cutting new ray and mark this point as Y.

The vertices A and Y are 4.2 cm away from the vertices K and O respectively so cut line segments KA and OY, each of 4.2 cm

(c) Join Y to A

OKAY is the required parallelogram

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