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]