Tiling Intuition Math Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

medium
A kitchen floor 300โ€‰cmร—240โ€‰cm300\,\text{cm}\times 240\,\text{cm} is tiled with 20โ€‰cmร—20โ€‰cm20\,\text{cm}\times 20\,\text{cm} square tiles. How many tiles are needed? If tiles cost \$2.50 each, what is the total cost?

Solution

  1. 1
    Step 1: Tiles along length: 300/20=15300/20 = 15. Tiles along width: 240/20=12240/20 = 12.
  2. 2
    Step 2: Total tiles =15ร—12=180= 15 \times 12 = 180 tiles.
  3. 3
    Step 3: Total cost = 180 \times \2.50 = \450450.

Answer

180180 tiles; total cost = \450$.
Square tiles perfectly tile rectangular floors (no gaps, no cuts needed) when dimensions are divisible by the tile size. Dividing each dimension by the tile size gives the count per row/column; multiplying gives total tiles.

About Tiling Intuition

Covering an entire surface with copies of one or more shapes that fit together perfectly with no gaps and no overlaps.

Learn more about Tiling Intuition โ†’

More Tiling Intuition Examples

Example 1 easy

Can regular pentagons tile the plane by themselves (no gaps or overlaps)? Explain using interior ang

Example 3 easy

Which of these regular polygons can tile the plane on their own: equilateral triangle, regular hexag

Example 4 medium

A wall [formula] is covered with rectangular tiles [formula]. How many tiles are needed? Verify usin

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