In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Problem: a rectangular circuit board is designed to have a width of w inches , a length of l inches , a perimeter of p inches , and an area of c square inches . which of the following equations must be true ?
Options: ['a ) 2 w ^ 2 + pw + 2 c = 0', 'b ) 2 w ^ 2 pw + 2 c = 0', 'c ) 2 w ^ 2 pw 2 c = 0', 'd ) w ^ 2 + pw + c = 0', 'e ) w ^ 2 pw + 2 c = 0']
b