A rectangular courtyard is 20m 16cm long and 15m 60cm broad. It is to be paved with square stones of the same size. Find the least number of such stones required
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Given:
A rectangular courtyard is 20m 16cm long and 15m 60cm broad. It is to be paved with square stones of the same size.
To find:
Find the least number of such stones required
Solution:
From given, we have,
The length of the rectangular Courtyard
= 20m 16 cm = 2016 cm
The breadth of the rectangular Courtyard
= 15m 60 cm = 1560 cm
The factors of 2016 and 1560 are as follows:
2016 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7
1560 = 2 × 2 × 2 × 3 × 5 × 13
HCF(2016, 1560) = 2 × 2 × 2 × 3 = 24
Least possible number of stones to be paved = Area of a rectangular courtyard ÷ Area of a square stone
= (2016 × 1560) ÷ (24)²
= 5460
Therefore, the least number of stones required is 5460.
Answered by
4
Answer:
5460
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