Final answer:
To find three expressions for the perimeter of a rectangle, you need to know the length and width. By using the given information that the length is 4 times the width, the expressions can be derived using basic formulas for the perimeter of a rectangle.
Step-by-step explanation:
To write three different expressions to describe the perimeter of a rectangle, we need to first define the length and width of the rectangle. Let's assume the width is 'w'. According to the question, the length is 4 times the width, so the length can be written as '4w'.
Expression 1: Perimeter = 2(length + width) = 2(4w + w) = 2(5w) = 10w
Expression 2: Perimeter = length + width + length + width = 4w + w + 4w + w = 10w
Expression 3: Perimeter = 2(length) + 2(width) = 2(4w) + 2(w) = 8w + 2w = 10w