During the quarantine, the Jones family installed a rectangular pool in their backyard that was 10 feet wide and 15 feet long. The Martin family, not to be outdone, wanted to install a circular pool in their backyard but wanted to make sure that their pool covered a larger area of their yard than the Jones’ pool covered of their backyard. What should the diameter of the Martin family’s pool be to ensure that it is larger than the Jones’ family (round to the nearest foot)?