Final answer:
The correct equation to find the width and length of the rectangle with a perimeter of 72 meters, where the width is 4 meters less than the length, is represented by 2l + 2(l - 4) = 72.
Step-by-step explanation:
To find the width and length of a rectangle given the perimeter and the relationship between the length and width, we can set up an equation using the perimeter formula P = 2l + 2w, where P is the perimeter, l is the length and w is the width. Since the width is 4 meters less than the length, we can express the width as w = l - 4. Plugging this relationship into the perimeter formula, we get P = 2l + 2(w), which simplifies to P = 2l + 2(l - 4). Substituting the given perimeter of 72 meters, we have 72 = 2l + 2(l - 4). So the correct equation to find the width and length of the rectangle is D. 2l + 2(l - 4) = 72.