Multiplication as Area Math Example 2

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

Example 2

medium
A tile floor is 8 feet long and 6 feet wide. Each tile is 1 square foot. How many tiles are needed to cover the floor?

Solution

  1. 1
    Area of floor: \(A = 8 \times 6\).
  2. 2
    Calculate: \(8 \times 6 = 48\) square feet.
  3. 3
    Each tile = 1 sq ft, so 48 tiles are needed.
  4. 4
    Visual check: 8 columns ร— 6 rows = 48 tiles.

Answer

48 tiles
Area counts the square units covering a rectangle. \(8 \times 6 = 48\) tiles fill the floor exactly.

About Multiplication as Area

Understanding multiplication as calculating the area of a rectangle: length times width gives the number of unit squares that fit inside. This visual model connects arithmetic to geometry.

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