48 x sqrt(2), which is a bit under 68 (inches, presumably).
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48 = 1 x 48, 2 x 24, 3 x 16, 4 x 12, 6 x 8, 8 x 6, 12 x 4, 16 x 3, 24 x 2, 48 x 1.
40 = 2 x 2 x 2 x 5 48 = 2 x 2 x 2 x 2 x 3
48 24,2 12,2,2 6,2,2,2 3,2,2,2,2 2 x 2 x 2 x 2 x 3 = 48
2 x 3 x 8 = 48 3 x 4 x 4 = 48 2 x 2 x 12 = 48
48 24,2 12,2,2 6,2,2,2 3,2,2,2,2 2^4 x 3 = 48