A rectangle has a perimeter of 26 feet. Twice its length (l) is one foot more than three times its width (w). What is the length of the rectangle, in feet?

A. 5

B. 13

C. 8

D. 16

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.