Given the following question:
[tex]\text{perimeter=2w+2h}[/tex][tex]\begin{gathered} d=30 \\ 4\colon3\text{ aspect ratio} \\ 4\colon3=0.75 \\ p\leq0.75 \\ \\ (30\times4)\div5 \\ 30\times4=120 \\ 120\div5=24 \\ w=24 \\ \\ (3\times30)\div5 \\ 3\times30=90 \\ 90\div5=18 \\ h=18 \\ p=2\times w+2\times h \\ w=24 \\ h=18 \\ 2\times24+2\times18 \\ 2\times24=48 \\ 2\times18=36 \\ 48+36 \\ 48+36=84 \\ p=84in \end{gathered}[/tex]The perimeter is 84 inches.
