The length of a rectangular boat storage shed must be 4 meters more than the width, and the perimeter must be at least 100100 meters. what is the range of values for the width?

I assume it is 100 meters, not 100100 meters.

Length (L) = width (w) + 4

Perimeter: 2L+2W>100

Plug L=W+4 into the equation 2L+2W>100:

2 (W+4) + 2W>100

2W+8+2W>100

4W+8>100

4W>92

W>23

the width needs to be at least 23 meters