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Answer:
4/9
Step-by-step explanation:
First, you'll want to find the area of both squares. You just multiply the side by itself, so 6x6 and 9x9 gives you areas of 36cm² and 81cm². Put 36 over 81 to create your fraction/ratio, and then just simplify it down by dividing the numerator and denominator by 9 in this case.