Question

4. The figure below represents a section of a school. . Write an expression for the area of the gym. b. Write an expression for the area of the cafeteria. c. Write an expression for the total area of the gym and cafeteria. d. Write an expression for the total perimeter of the gym and cafeteria.

Answer 1

a. An expression for the area of the gym is:

`A_g=15x`

b. An expression for the area of the cafeteria is:

`\begin{gathered} A_c=15(x+3) \\ A_c=15x+45 \end{gathered}`

c. An expression for the total area of the gym and cafeteria is:

`\begin{gathered} A_t=(15)(x+x+3) \\ \rightarrow A_t=(15)(2x+3) \\ \rightarrow A_t=30x+45 \end{gathered}`

d. An expression for the total perimeter of the gym and cafeteria is:

`\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}`