Wall Tiling: 200 Tiles & 20,000 cm2

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SUMMARY

The discussion centers on calculating the dimensions and area of a wall tiled with square tiles. Each tile measures 20 cm on each side, resulting in a wall that is 1 meter long and 2 meters high, totaling an area of 20,000 cm². When using smaller tiles of 10 cm sides, the total required number of tiles increases to 200. The calculations presented are confirmed as accurate by a participant named DrClaude.

PREREQUISITES
  • Understanding of basic geometry, specifically area calculation.
  • Knowledge of unit conversion between centimeters and meters.
  • Familiarity with multiplication and area formulas for square shapes.
  • Ability to analyze and verify mathematical solutions.
NEXT STEPS
  • Explore advanced geometric concepts related to tiling patterns.
  • Learn about different tile materials and their impact on wall aesthetics.
  • Research methods for calculating material costs based on area.
  • Investigate the implications of tile size on installation time and labor.
USEFUL FOR

This discussion is beneficial for DIY enthusiasts, home improvement contractors, and anyone involved in interior design or construction projects requiring tiling calculations.

Natasha1
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Homework Statement


A man tiles a wall with 50 square tiles. Each tile has sides of 20 cm. The wall is ten tiles high and 5 tiles long.

2. Homework Equations

No real equations to use here...

The Attempt at a Solution


What length is the wall?
20 cm x 5 = 100 cm= 1 m

What height is the wall?
20 cm x 10 = 200 cm= 2 m

What is the area of the wall?
50 tiles x 400 cm2 = 20 000 cm2

If he uses square tiles of 10 cm sides, how many tiles would he need?
1 m length / 10 cm tiles = 10 tiles
2 m height / 10 cm tiles = 20 tiles

20 tiles x 10 tiles = 200 tiles used

Am I correct please?
 
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That looks correct. Some calculations can be arrived at by alternate routes, but what you did is ok.
 
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Thanks DrClaude!
 

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