a rectangular courtyard is 20m16cm long and 15m 60 cm broad respectively. it is to be paved with square stone of same size. Find the least possible number of stones
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length of the rectangular Courtyard = 20m 16 = cm = 2016 cm
Breadth of the rectangular Courtyard = 15m 60cm = 1560 cm
Prime factorisation of 2016 and 1560:
2016 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7
1560 = 2 × 2 × 2 × 3 × 5 × 13
HCF of 2016 and 1560 = 2 × 2 × 2 × 3 = 24
Therefore, Area of a square stone = 24²cm
Least possible number of stones to be paved = Area of a rectangular courtyard ÷ Area of a square stone
= (2016 x 1560) ÷ 24²
= 5460
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