Question

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

Answer 1

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.