There's 3 possibilities for a rectangle with an area of 32 square feet. [tex]8 \times 4 \\ 16 \times 2 \\ 32 \times 1[/tex] If 8 x 4, Perimeter = [tex]2(8) + 2(4) = 24[/tex] If 16 x 2, Perimeter = [tex]2(16) + 2(2) = 36[/tex] If 32 x 1, Perimeter = [tex]2(32) + 2(1) = 66[/tex]