# A calculus problem by Brilliant Member

Calculus Level 3

A rectangular field is to be fenced off along the bank of a river where no fence is required along the bank. If the material for the fence costs $$12$$ per running foot for the two ends and $$18$$ per running foot for the side parallel to the river, find the largest possible area in $$ft^2$$ that can be enclosed with $$5400$$ worth of fence.

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