# (iv)  A student attempted to draw a quadrilateral PLAY where $PL = 3 cm, LA = 4 cm, AY = 4.5 cm, PY = 2 cm$ and $LY= 6 cm$, but could not draw it. What is the reason? [Hint: Discuss it using a rough sketch].

Given, a quadrilateral PLAY where $PL = 3 cm, LA = 4 cm, AY = 4.5 cm, PY = 2 cm$ and $LY= 6 cm$,

Rough sketch:

We know, that sum of two sides of a triangle must be greater than the third side. But PL + PY < YL . Hence this is not a triangle. Therefore, this quadrilateral cannot be made.

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