Question
A rectangular courtyard is 18m, 72cm long and 13m, 20cm board. It is to be paved with square tiles of the same size. Find the least possibele number of such tiles.
✓
Answer
Length of the courtyard = 18m, 72cm = 1872cmBreadth of the courtyard = 13m, 20cm = 1320cm
Now, maximum edge of the square tile is given by the HCF of 1872cm and 1320cm.
HCF of 1872 and 1320 = 24
$\therefore$ maximum edge of the squre tile = 24cm
Required number of tiles $=\frac{\text{area of courtyard}}{\text{area of each square tile}}$
$=\frac{1872\times1320}{24\times24}$
$=4290$
Now, maximum edge of the square tile is given by the HCF of 1872cm and 1320cm.
HCF of 1872 and 1320 = 24
$\therefore$ maximum edge of the squre tile = 24cm
Required number of tiles $=\frac{\text{area of courtyard}}{\text{area of each square tile}}$
$=\frac{1872\times1320}{24\times24}$
$=4290$
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