the width of a rectangle is 37 cenimeters. find all possible values for the length of the rectangle if the perimeter is at least 596 centimeters

(NOTE: I am using a capital "L" to avoid confusion with the number "1")

Perimeter (P) ≥ 596

(NOTE: We will be using "≥" because the perimeter is AT LEAST 596)

Perimeter (P) = 2w · 2L

596 ≥ 2 (37) + 2L

596 ≥ 74 + 2L

522 ≥ 2L

L ≥ 261 cm

Length ≥ 261 cm

The length is greater than or equal to 261 cm.