A rectangular courtyard is 18m72cm long and13m20cm broad.it is to be paved with square tiles of the same size.find the least possible number of such tiles
Answers
Answered by
5
given length of rectangular courtyard=18m72cm
width of rectangular courtyard=13m20cm =1320cm
to find the square tile of maximum side we take the HCG of 1872 and 1320 we have 1872=1320*1+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.
width of rectangular courtyard=13m20cm =1320cm
to find the square tile of maximum side we take the HCG of 1872 and 1320 we have 1872=1320*1+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.
Answered by
1
Answer:
Step-by-step explanation:
Similar questions