Ahome owner is building a square patio and will cover the patio with square tiles. each tile has an area of 256 square inches and costs $3.45 each. the home owner has \$500 to spend on tiles. calculate how many tiles the home owner can buy. find the side length
(in feet) of the largest patio the home owner can build.

The homeowner can buy 144 tiles maximum.

Side length = 16 feet.

Step-by-step explanation:

The cost of each tile is $3.45.

So, at $500, the homeowner can buy ≈ 144 number of tiles. {As the number of tiles can not be a fraction.}

Since each tile is a square with area 256 square inches, so the homeowner can arrange the tiles in 12 by 12 arrangements.

Each tile has side length = √256 = 16 inches.

So, the side length of the largest patio is (16 × 12) inches = 16 feet. (Since, 1 foot = 12 inches). (Answer)

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step-by-step explanation: