A home 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.

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Answer:

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 [tex]\frac{500}{3.45} = 144.92[/tex] ≈ 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)