Arectangle 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.

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