A rectangular verandah is 18 m 72 cm long and 13 m 20 cm wide. Square tiles of the same dimensions are to paired in it. Find the least number of such tiles.

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.