2. The ratio of the length of a rectangle to its width is 7:4. Pete said that the ratio of the length to the perimeter is 7:11. Do you agree with Pete? Explain why or why not.



Answer :

Final answer:

Pete's statement is incorrect because the ratio of the length to the perimeter of a rectangle with a length-to-width ratio of 7:4 is 7:22, not 7:11.


Explanation:

No, Pete's statement is not correct. The ratio of the length to the perimeter of a rectangle with a length-to-width ratio of 7:4 cannot be 7:11. To understand this, let's consider a rectangle with a length of 7 units and a width of 4 units. The perimeter of this rectangle would be 22 units, so the correct ratio of length to perimeter is 7:22, not 7:11 as Pete mentioned.


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