Answer :

Answer:

  $500

Step-by-step explanation:

You want the cost of a 50 cm square tile if a 30 cm square tile costs $180 and cost is proportional to area.

Cost

If c represents the cost of the larger tile, cost being proportional to area means ...

  c/50² = 180/30²

  c = (50²/30²)·180 = 500

The cost of the other tile is $500.

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Additional comment

The area is the square of the edge length.

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