you are a contractor installing a brick sidewalk. The portion of the sidewalk will occupancy and area of 100 feet long by 4 feet wide. Each brick will occupy and area 8 inches long by 4 inches wide what is the minimum number of bricks will you need to occupy this area

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Answer:

1800 bricks

Step-by-step explanation:

Given

[tex]Sidewalk = 100ft\ by\ 4ft[/tex]

[tex]Brick = 8 in\ by\ 4 in[/tex]

Required

Calculate the minimum bricks needed

To start with, we calculate the area of sidewalk

[tex]Sidewalk = 100ft * 4ft[/tex]

[tex]Sidewalk = 400ft^2[/tex]

Next, we calculate the area of sidewalk

[tex]Brick = 8in * 4in[/tex]

[tex]Brick = 32in^2[/tex]

Divide area of sidewalks by area of bricks to give number of bricks

[tex]Number = \frac{Sidewalk}{Brick}[/tex]

[tex]Number = \frac{400ft^2}{32in^2}[/tex]

Convert units ([tex]ft^2[/tex] to [tex]in^2[/tex])

[tex]Number = \frac{400 * 144in^2}{32in^2}[/tex]

[tex]Number = \frac{57600in^2}{32in^2}[/tex]

[tex]Number = 1800[/tex]

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