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Draw the following:

A parallelogram OKAY where OK = 5.5 cm and KA = 4.2 cm.

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#### Solution

Opposite sides of a parallelogram are equal and parallel to each other. The given parallelogram OKAY can be drawn as follows.

1) A rough sketch of this parallelogram OKAY is drawn as follows.

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

3) Draw a ray at point O parallel to the ray at K. As the vertices, A and Y, are 4.2 cm away from the vertices K and O respectively, cut line segments KA and OY, each of 4.2 cm, from these rays.

4) Join Y to A.

OKAY is the required parallelogram.

Concept: Some Special Cases

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