The meters of rope used for knot tying is 10 meters.
According to the question,
We have the following information:
A cout mater bough 45 meter of rope he used two-ninth of the rope for knot tying.
So, we have the following expression for the rope used for knot tying:
45 of 2/9
We know that the word of is replaced by multiplication.
45*2/9
Now, we will first multiply the numbers in the numerator and then we will divide the obtained result by denominator.
90/9
Dividing 90 by 9:
10 meters
Hence, the meters of rope used for knot tying is 10 meters.
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