Step 1: Given a rectangle has a perimeter of 68 ft.
Formula
[tex]\begin{gathered} Perimeter\text{= 2(L+B)} \\ 68\text{ = 2L + 2B} \\ \end{gathered}[/tex]Step 2: Find the perimeter when scaled by a factor 1.5
Then the perimeter of the resulting rectangle
[tex]\begin{gathered} P_1=\text{ 2L + 2B} \\ P_2\text{ = 1.5(2}L\text{ +2B)} \\ P_{2_{}_{}_{}_{}_{}_{}_{}_{}_{}}\text{ = 1.5 (68)} \\ P_2\text{ = 102} \end{gathered}[/tex]Hence the perimeter of the resulting rectangle is 102ft