a. An expression for the area of the gym is:
[tex]A_g=15x[/tex]b. An expression for the area of the cafeteria is:
[tex]\begin{gathered} A_c=15(x+3) \\ A_c=15x+45 \end{gathered}[/tex]c. An expression for the total area of the gym and cafeteria is:
[tex]\begin{gathered} A_t=(15)(x+x+3) \\ \rightarrow A_t=(15)(2x+3) \\ \rightarrow A_t=30x+45 \end{gathered}[/tex]d. An expression for the total perimeter of the gym and cafeteria is:
[tex]\begin{gathered} P_t=2(15)+2(x+x+3) \\ \rightarrow P_t=30+2(2x+3) \\ \rightarrow P_t=30+4x+6 \\ \rightarrow P_t=4x+36 \end{gathered}[/tex]