, 2024

Sadinie is asked to create a rectangular enclosure using $40$ m of fencing so that the side-lengths, in metres, of the enclosure are all prime numbers. What is the maximum possible area of the enclosure?

(A) $51\text{ m}^2$ (B) $84\text{ m}^2$ (C) $91\text{ m}^2$ (D) $96\text{ m}^2$ (E) $99\text{ m}^2$