13) In a rectangle the length is triple the width. The perimeter of the rectangle is 56 yards. Which equation represents the perimeter?
a.) w + 3w = 56
b.) w(3w) = 56
c.) w +3 + w +3=56
d.) w +3w+w+3w =56

Option D: w + 3w + w + 3w = 56

Step-by-step explanation:

Given the perimeter of a rectangle of 56 yards, for which its length is triple the width.

Let P = perimeter of a rectangle = 56 yards

L = length of a rectangle = 3W

W = width of a rectangle

The formula for finding the perimeter of a rectangle is:

P = 2L + 2W or P = 2(L + W)

Substitute the value of the length into the perimeter formula:

P = 2L + 2W

P = 2(3W) + 2W  =  3W + 3W + W + W = 56 yards

Therefore, the correct answer is Option D: w + 3w + w + 3w = 56