davidhumprey126 davidhumprey126
  • 05-05-2024
  • Mathematics
contestada

two square floor tiles are made of the same material.one cost $180 and it's edges is 30cm long.find the cost of the other if it's edges is 50cm long​

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sqdancefan
sqdancefan sqdancefan
  • 05-05-2024

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.

__

Additional comment

The area is the square of the edge length.

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