Question

if length and breadth of a courtyard are 18.72 and 13.20 respectively ; how many square tiles will be nneded

Answer 1

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..

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