A square and a right triangle have equal perimeters.  The legs of the right triangle are 20 inches and 15 inches.  What is the area of the square, in square inches?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
A square and a right triangle have equal perimeters.  The legs of the right triangle are 20 inches and 15 inches.  What is the area of the square, in square inches?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
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A square and a right triangle have equal perimeters.  The legs of the right triangle are 20 inches and 15 inches.  What is the area of the square, in square inches?
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