Answer: Out of the given responses, response 1 and response N are not correct.
1. The response "1=5p-w" is incorrect. This equation does not accurately represent the formula for the length of a rectangle based on its perimeter.
N. The response "L=2(p-2w)" is also incorrect. This equation does not correctly represent the formula for the length of a rectangle based on its perimeter. The coefficient 2 should not be present, and the variables are not correctly aligned.
To determine the correct response, we need to analyze the given perimeter formula, p = 21 + 2w. The perimeter of a rectangle is given by the sum of all its sides.
To find the length (L) of the rectangle using the given perimeter formula, we can subtract the width (w) from the given perimeter and divide by 2.
The correct response should be:
L = (p - 2w)/2
In this case, the correct formula for the length of a rectangle based on its perimeter is L = (21 + 2w - 2w)/2, which simplifies to L = 21/2.
Therefore, the correct response should be L = 21/2.