Question

A rectangular courtyard is 18m and 72cm long and 13m and 20cm broad. It is to be paved with square tiles of same size. Find the least possible number of
such tiles

Answer 1

Answer:

Step-by-step explanation:

Answer. Given length of rectangular courtyard = 18 m 72 cm = 1872 cm Width of rectangular courtyard = 13 m 20 cm = 1320 cm To find the square tile of maximum side we take the HCG of 1872 and 1320 By Euclid’s division lemma we have 1872 = 1320 × 1 + 552 1320 = 552 × 2 + 216 552 = 216 × 2 + 120 216 = 120 × 1 + 96 120 = 96 × 1 + 24 96 = 24 × 4 + 0 Hence the HCF is 24 Therefore maximum side of the square = 24 cm Number of tiles required = (Area of rectangular courtyard) (Area of square tile) = (1872 × 1320)/(24 × 24) = 4290 Hence 4290 tiles are required.