Robert,
Her is what I understand as your table top.
I let the long side length by s inches and each of the six short side lengths be x inches.
Here is a closer look at one of the ends.
The triangle shown is a right triangle and hence, by Pythagoras Theorem,
y^{2} + y^{2} = x^{2} or 2 y^{2} = x^{2} and hence y = ^{x}/_{√2}
Thus the width of the table, 48 inches, can be written
48 = y + x + y = ^{x}/_{√2} + x + ^{x}/_{√2} = (1 + ^{2}/_{√2} ) x = (1 + √2) x
Hence
x = ^{48}/_{(1 + √2)} = 19.88" or 19 ^{7}/_{8} inches
Thus the length of the long side is
s = 72  2 (19 ^{7}/_{8} ) = 32 ^{1}/_{4} inches.
Harley
