The figure shows a blueprint of a dining room, kitchen, and living room. Each square has a side length of 1/4 inch. Hardwood floors cost $11 per square foot. What is the cost of hardwood flooring for the dining room?тАЛ

Answer:
[tex]Cost= \$3520[/tex]
Step-by-step explanation:
Given
[tex]l = \frac{1}{4}in[/tex]
[tex]Unit\ Cost = \$11[/tex] per ft^2
Required
Cost ┬аof dining room
Start by calculating its area.
We have:
[tex]Area = 4l * 5l[/tex] ---- the squares
Substitute [tex]l = \frac{1}{4}in[/tex]
[tex]Area = 4 * \frac{1}{4} * 5* \frac{1}{4}[/tex]
[tex]Area = \frac{5}{4}in^2[/tex]
Convert to [tex]ft^2[/tex]
[tex]Area = \frac{5}{4} * (16ft)^2[/tex]
[tex]Area = \frac{5}{4} * 256ft^2[/tex]
[tex]Area = 320ft^2[/tex]
So, the cost is:
[tex]Cost = Unit\ Cost * Area[/tex]
[tex]Cost= \$11/ft^2 * 320ft^2[/tex]
[tex]Cost= \$11 * 320[/tex]
[tex]Cost= \$3520[/tex]