Answer :
Length of rectangular verandah = 1872 cm.
Breadth of courtyard = 1320 cm
HCF of the above measurements:
1872 = 1320 × 1 + 552
1320 = 552 × 2 + 216
552 = 216 × 2 + 120
216 = 120 × 1 + 96
120 = 96 × 1 + 24
96 = 24 × 4 + 0
HCF of 1872 and 1320 = 24 cm
Number of tiles = Area of courtyard / areas of side of tiles
= (1872 × 1320) / (24 × 24)
= 4290
Hence total number of tiles required is 4290.
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