Family Room:
Area = Length x width
= 10.5 ft x 11.5 ft
= 120.75 ft²
Convert ft² into yd²:
[tex]120.75\ ft^2\times \dfrac{(1\ yd)^2}{(3\ ft)^2}\quad =\quad \dfrac{120.75\ yd^2}{9}\quad =\quad 13.42\ yd^2[/tex]
Cork (A) = $5.00 per yd²:
[tex]13.42\ yd^2 \times \dfrac{\$5.00}{yd^2}=\large\boxed{\$67.08}[/tex]
Kitchen:
Area = Length x width
= 8.5 ft x 10 ft
= 85 ft²
Convert ft² into yd²:
[tex]85\ ft^2\times \dfrac{(1\ yd)^2}{(3\ ft)^2}\quad =\quad \dfrac{85\ yd^2}{9}\quad =\quad 9.44\ yd^2[/tex]
Vinyl (B) = $2.60 per yd²:
[tex]9.44\ yd^2 \times \dfrac{\$2.60}{yd^2}=\large\boxed{\$24.56}[/tex]
Living Room:
Area = Length x width
= 27 ft x 9.5 ft
= 256.5 ft²
Convert ft² into yd²:
[tex]256.5\ ft^2\times \dfrac{(1\ yd)^2}{(3\ ft)^2}\quad =\quad \dfrac{256.5\ yd^2}{9}\quad =\quad 28.5\ yd^2[/tex]
Nylon (E) = $5.50 per yd²:
[tex]28.5\ yd^2 \times \dfrac{\$5.50}{yd^2}=\large\boxed{\$156.75}[/tex]
Bedroom:
Area = Length x width
= 11 ft x 9.5 ft
= 104.5 ft²
Convert ft² into yd²:
[tex]104.5\ ft^2\times \dfrac{(1\ yd)^2}{(3\ ft)^2}\quad =\quad \dfrac{104.5\ yd^2}{9}\quad =\quad 11.61\ yd^2[/tex]
Cork (A) = $5.50 per yd²:
[tex]11.61\ yd^2 \times \dfrac{\$5.50}{yd^2}=\large\boxed{\$63.86}[/tex]
TOTAL:
Family Room = $ 67.08
Kitchen = $ 24.56
Living Room = $156.75
Bedroom = $ 63.86
[tex]=\large\boxed{\$312.25}[/tex]