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

The figure shows a blueprint of a dining room kitchen and living room Each square has a side length of 14 inch Hardwood floors cost 11 per square foot What is t class=

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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]

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