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You are building a right-angled triangular flower garden along a stream as shown in the figure. (The borders can be in any directions as long as they are at right angles as shown.) The fencing of the left border costs $4 per foot, while the fencing of the lower border costs $1 per foot. (No fencing is required along the river.) You want to spend $48 and enclose as much area as possible. What are the dimensions of your garden, and what area does it enclose? HINT [The area of a right-triangle is given by A = xy/2.]