Answer:
The new carpet for the master room will cost $379.30
Step-by-step explanation:
The bedroom is a rectangle of dimensions:
[tex]4\sqrt {3}+6\sqrt {3}=10\sqrt {3}~ft[/tex]
[tex]6\sqrt {6}~ft[/tex]
Thus, the area of the master bedroom is:
[tex]A=10\sqrt {3}~ft*6\sqrt {6}~ft[/tex]
Multiply the coefficients and the arguments:
[tex]A=60\sqrt {18}~ft^2[/tex]
Calculating:
[tex]A=254.56~ft^2[/tex]
The carpet unit cost is $1.49 per square foot, thus the total cost of the new carpet is:
$1.49*254.56=$379.30
The new carpet for the master room will cost $379.30
