Sophia is working on a geometric design project for her art class. She needs to create a rectangular area that is enclosed by a fence. The length of the rectangle is 5 meters longer than its width. If the total perimeter of the rectangle is 50 meters, what will be the area of the rectangle in square meters?
Use the formula for perimeter $$P = 2(l + w)$$, and for area $$A = l imes w$$ where $$l$$ is the length and $$w$$ is the width.