a)
Dimensions: 7.5m x 4.5m
Cost , x= $14.17/m^2.
The area of the rectangular room can be calculated as,
[tex]\begin{gathered} A=7.5\times4.5 \\ =33.75m^2 \end{gathered}[/tex]Now, the cost of carpeting the rectangular room is,
[tex]\begin{gathered} C=xA \\ =14.17\times33.75 \\ =478.24\text{ } \end{gathered}[/tex]Therefore, the cost of carpeting the room with dimensions 7.5m x 4.5m is $478.24.
b)
Dimensions: 17 yd. x 12 yd.
Cost, x= $25/yd^2.
The area of the rectangular room can be calculated as,
[tex]\begin{gathered} A=17\times12 \\ =204yd^2 \end{gathered}[/tex]Now, the cost of carpeting the rectangular room is,
[tex]\begin{gathered} C=xA \\ =25\times204 \\ =5100 \end{gathered}[/tex]Therefore, the cost of carpeting the room with dimensions 17 yd. x 12 yd is $5100.
