Question: Mr. Warwick would like to build two square training courts. The building costs per square metre of these two courts are 20 and 50, respectively.

Mr. Warwick would like to build two square training courts. The building costs per square metre of these two courts are 20 and 50, respectively. Mr. Warwick has a budget of 10,000. To maximize the total length of two training paths constructed around the perimeters of two courts, what are the optimal sizes of two courts which Mr. Warwick can build?

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