Can you please review to see if I am on the right track with this problem:

Question

The length of a rectangle is 2 centimeters less than two times the width of the rectangle. If the perimeter of the rectangle is 98 centimeters, what is the length of the rectangle? Write a system of equation to solve.

L = 2x-2
2x-2 =98
2x = 100
x = 50 (length)

P = 2L + 2W = 98
2 (50) + 2w = 98
100 + 2w = 98
2w = -2
w = -1

Is this correct?

Answer 1

How could the width be a negative number?

98 = 2(2W - 2) + 2W

98 = 6W - 4

102 = 6W

17 = W