Question

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?​

Answer 1

`Cost= \$3520`

Explanation:

Given

`l = (1)/(4)in`

`Unit\ Cost = \$11` per ft^2

Required

Cost of dining room

Start by calculating its area.

We have:

`Area = 4l * 5l` ---- the squares

Substitute
`l = (1)/(4)in`

`Area = 4 * (1)/(4) * 5* (1)/(4)`

`Area = (5)/(4)in^2`

Convert to
`ft^2`

`Area = (5)/(4) * (16ft)^2`

`Area = (5)/(4) * 256ft^2`

`Area = 320ft^2`

So, the cost is:

`Cost = Unit\ Cost * Area`

`Cost= \$11/ft^2 * 320ft^2`

`Cost= \$11 * 320`

`Cost= \$3520`