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TSA 2013 · Question 24 · Optimisation

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Mr Daley has bought some used carpeting for his new 24 m x 12 m car showroom. The carpet is in 8 m x 4 m rectangles which will be joined using a strip of double-sided tape along all seams. Additionally, double-sided tape will be needed to stick the carpet around the edges of the showroom.

What is the minimum amount of tape he requires?