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rewona [7]
4 years ago
5

Carpenters use parallel wall studs to build support for walls. A carpenter has built two wall studs given by HG and CD in the fi

gure below. Find the measure of so that the two wall studs are parallel. Justify.

Mathematics
1 answer:
andreev551 [17]4 years ago
3 0

See the attached picture:

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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.

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