24. Exemplar example problems VIII

A calf is tied with a rope of length \(6 \ m\) at the corner of a square grassy lawn of side \(20 \ m\). If the length of the rope is increased by \(5.5 \ m\), find the increase in area of the grassy lawn in which the calf can graze.

 

Increase in area \(=\) \(cm^2\) 

 

[Note: Round off your answer up to three decimal places]