The diagram shows the plan of Sophia's gym floor. Diagram NOT accurately drawn Sophia is going to paint all the gym floor. Each tin of paint she is going to use covers an area of $$\(20 \mathrm{~m}^{2}\)$$ There is a special offer on the paint that Sophia is going to buy. Work out the least amount of money that Sophia has to pay in order to buy all the paint she needs. Show your working clearly. $$\(\$\)$$

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