Pooja has a rectangular courtyard. She wants to paint the entire boundary of the courtyard with red colour. If the length of the courtyard is three times its breadth and she had to paint a line 120m in length, the length and breadth of the courtyard : Please help
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Step-by-step explanation:
length of the rectangular Courtyard = 20m 16 cm = 2016 cm
Breadth of the rectangular Courtyard = 15m 60 cm = 1560 cm
HCF(2016, 1560) =?
Prime factorisation 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
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