Question

If a rectangular area is covered with square tiles as shown in the given figure, the total area of the rectangle will be equal to _____.

• A. the number of tiles
  
• B. half the number of tiles
  
• C. $\frac{1}{12}\times$ area of a tile
• D. the length of the tile
  

Answer 1

The correct option is A the number of tiles


Area of the square tile $=1\times 1$ sq ft
Length of the rectangle $=1\times 4=4$ ft (As the length of the rectangle is 4 tiles and the side length of a tile is 1 ft.)
Width of the rectangle $=1\times 3=3$ ft (As the width of the rectangle is 3 tiles and the side length of a tile is 1 ft.)
Area of the rectangle $=\text{length}\times \text{width}$
$=4\times 3$
$=12$ sq ft
Number of square tiles = 12 (As observed in the figure.)
If a rectangular area is covered with square tiles, the total area of the rectangle will be equal to the number of tiles.