Area of a Rectangular Park with Given Perimeter

A rectangular park has a length that is twice its width. If the total perimeter of the park is 120 meters, what is the area of the park in square meters?

Let the width of the park be represented by the variable $w$. Therefore, the length can be expressed as $2w$. The formula for the perimeter $P$ of a rectangle is given by:

$$P = 2(length + width)$$

Substituting for length and width gives:

$$120 = 2(2w + w)$$