Question

find the cost of carpeting the following rectangular rooms:a. Dimensions: 7.5m x 4.5m; Cost= $14.17/m^2b. Dimensions: 17 yd. x 12 yd; Cost= $25/yd^2

Answer 1

a)

Dimensions: 7.5m x 4.5m

Cost , x= $14.17/m^2.

The area of the rectangular room can be calculated as,

$\begin{gathered} A=7.5\times4.5 \\ =33.75m^2 \end{gathered}$

Now, the cost of carpeting the rectangular room is,

$\begin{gathered} C=xA \\ =14.17\times33.75 \\ =478.24\text{ } \end{gathered}$

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,

$\begin{gathered} A=17\times12 \\ =204yd^2 \end{gathered}$

Now, the cost of carpeting the rectangular room is,

$\begin{gathered} C=xA \\ =25\times204 \\ =5100 \end{gathered}$

Therefore, the cost of carpeting the room with dimensions 17 yd. x 12 yd is $5100.