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A hall is in the form of a rectangular solid with its each side length equal to 12 feet. If the floor and one wall of the hall are to be covered with colored tiles measuring 2 feet by 2 feet, how many such tiles are required?
  • a)
    18
  • b)
    36
  • c)
    64
  • d)
    72
  • e)
    144
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A hall is in the form of a rectangular solid with its each side length...
Given
  • Length of each side of the rectangular solid = 12 feet
    • Floor and one wall are to be covered by rectangular tiles
  • Dimension of tiles = 2 by 2 feet
To Find: Number of tiles required?
Approach
  1. Number of tiles required =  
    1. As we know the side length of the hall, we can find the area of floor = area of one wall = (side)2
    2. Also, as we know the dimensions of the tiles, we can find its area = (2*2) square feet
Working Out
  1. Area of floor = Area of one wall = 122=144
  2.  square feet
    1. Area of floor + Area of one wall = 144 + 144 = 288 square feet
       
  3. Area of a tile = 2 * 2 = 4 square feet
     
  4. Number of tiles required = 288/4=72
Answer: D
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