The perimeter of the rectangle is 2x+2y. As y=3x+2, this perimeter can also be expressed as 2x+2(3x+2)=8x+4<70, meaning 8x<66. As the dimensions are whole numbers, x can be 8 at most, meaning y can be 26 at most. Using these figures in the perimeter yields 2(8)+2(26)=68, leaving 2 inches.

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