Question

A rectangle has a length that is half its life design, a variable to represent the unknown quantity, then writing expression to represent the perimeter of the rectangle

Answer 1

The perimeter of the rectangle 2.5w.

Let's define the variable 'w' to represent the unknown width of the rectangle.

Since the length of the rectangle is half its width, we can express the length as '0.5w'.

The perimeter of a rectangle is the total length of all its sides added together. For a rectangle, the perimeter formula is:

Perimeter = 2 (Length + Width)

Using the variable 'w' and the expression for length, we can represent the perimeter of the rectangle as:

Perimeter = 2 (0.5w + w)

Expanding the parentheses, we get:

Perimeter = 0.5w + 2w

Combining like terms, we can simplify the expression to:

Perimeter = 2.5w