Alice purchased 30 decorative stone square blocks to create an enclosed rectangular garden area. Each square block measures 1 foot by 1 foot, and one possible arrangement is shown. Including the arrangement shown, in how many distinct ways can Alice arrange the blocks to enclose a garden, and for which arrangement is the garden area greatest?

1 answer

6x5 gives greatest area
Just think of the factors of 30, and list them in pairs for the others.