Respuesta :
The carpenting cost for bedroom is $ 440
Solution:
Given that a bedroom is 15 feet and 12 feet wide
Also carpeting costs $22 per square yard
To find: cost to carpet the room
The cost to carpet the room is calculated by multiplying area of bedroom by carpenting cost
Since bedroom is generally of rectangular shape, we can use area of rectangle formula
The area of rectangle is given as:
[tex]\text {Area of rectangle }=\text { length } \times \text { width }[/tex]
Here length = 15 feet and width = 12 feet
[tex]\text {Area of rectangle }=15 \times 12=180[/tex]
Thus area of bedroom is 180 square feet
Let us convert feet to yards
Given that 1 yard = 3 feet
[tex]1 \text { feet }=\frac{1}{3} \text { yard }[/tex]
[tex]180 \text { square feet }=180 \mathrm{feet}^{2}[/tex]
[tex]\begin{array}{l}{180 \text { feet }^{2}=180 \times \frac{1}{3} \times \frac{1}{3} \text { yard }^{2}} \\\\ {180 \text { feet }^{2}=20 \text { yard }^{2}}\end{array}[/tex]
Calculating carpenting cost:
[tex]\text {carpenting cost }=\text { area of bedroom } \times \text { cost per square yard }[/tex]
[tex]\begin{array}{l}{\text { carpenting cost }=20 \times 22} \\\\ {\text { carpenting cost }=\$ 440}\end{array}[/tex]
Thus the carpenting cost for bedroom is $ 440
