Calculating the Area of a Rectangular Playground

Lisa wants to fence a rectangular playground for her new pet bunny. She has a total of 50 feet of fencing available. If she wants the length of the playground to be 5 feet longer than the width, what will be the area of the playground in square feet?

Let the width be denoted as $w$. Then, the length can be expressed as $l = w + 5$. The formula for the perimeter $P$ of a rectangle is given by:

$$P = 2l + 2w$$

Substituting the values, we have:

$$50 = 2(w + 5) + 2w$$