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Cherie is laying square tiles on her square kitchen floor. She buys the tiles for $2 per square foot tile. If her total estimated cost for the tiles is $288, what is the length of her floor in feet?

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BlueSky06

Given:

Price = 2$ per square foot

Total price = $288

 

Find:

The length of the floor in feet.

 

Solution

 

Squares have sides of equal length.  The solution for the area of a square is:

 

Area = x2

 

where x is the side length.

 

 

If each square foot is $2 and the total is $288, we divide 288 by 2 to find out how many square feet the floor has.

 

$288 / ($2 per square foot) = 144 square feet

 

Take the square-root of this value to get the length of the floor.

 

x = √144

x = 12

 

 

Therefore, the length of the floor is 12 feet.

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