The perimeter of a rectangle is obtained by taking the sum of twice the length and twice the width. This is shown in the following equation:
Perimeter = 2(Length) + 2(Width)
Given the following relations:
2L = 3W + 1
Substituting the relation to the equation of the perimeter:
Perimeter = 3W + 1 + 2W
26 = 5W + 1
Width = 5 feet
Substituting back to the original equation:
26 = 2L + 2(5)
Length = 8 feet
Among the choices, the correct answer is C.
