Consider a box with the dimensions . What is the shortest distance a small spider must walk along the inside walls to get from one corner of the box to the opposite corner?
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Drawing a net of the box and connecting corners gives three possible solutions: ( 2 0 + 7 ) 2 + 1 4 2 > 3 0 , ( 2 0 + 1 4 ) 2 + 7 2 > 3 4 and ( 1 4 + 7 ) 2 + 2 0 2 = 2 9