The area for the perimeter of a rectangle is: <em>P = 2l + 2w</em> In this problem, we are given that P = 155 and l = 45.5. To solve for area, we must find w. To do this, plug in the given info and isolate the w like so: Now we know w = 32. Knowing all the necessary info, we can use the area formula, <em>A=lw</em>, to solve for A.