Q18 of 99 Page 264

Let us calculate what is the longest size of the square tile that can be used for paving the rectangular courtyard with measurement of 385 meter × 60 meter and also find the number to tiles.

Let the side of each tile is ‘a’, Let number of tiles required be N.

We know area of rectangle = length × breadth


Area of courtyard = 385 × 60 = 22100 m2


Now, we have to calculate the longest size of square tile that can be used for paving the courtyard,


As, 22100 = 2 × 2 × 5 × 5 × 17 × 13


Clearly, we have to make 17 and 13 eliminate to make it perfect square, therefore we take square tiles of (2 × 5 = 10 cm) side.


And no of tiles


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