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Answer: The answer is 20 inches.
Step-by-step explanation: As given in the question and shown in the attached figure, Keyley drew the rectangle 'R' and square 'S' with equal areas.
Also, the length of Keyley's rectangle 'R' = 8 inches. Let the breadth be 'b' inches. Again, let 'l' be the length of a side of square 'S'.
Then, we must have
Now, the only possible value of b is 2, so that
Thus, the breadth of 'R' is b = 2 inches and side of 'S' = 4 inches.
Therefore, perimeter of Keyley's rectangle 'R' is given by
Thus, the answer is 20 inches.
