The length and width of rectangular lot are 108 m and 144 m. Trees are
planted at equal distance along the sides of the lot. What is the total number
of trees planted? (use the concept of LCM)
Answers
Answer:
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Complete Question :- The length and width of rectangular lot are 108 m and 144 m. Trees are planted at equal distance along the sides of the lot. What is the least number of trees planted ? (use the concept of LCM and HCF.)
Solution :-
In order to find the distance between the trees we need to find the HCF of 108 and 144 first .
Prime factors of 108 and 144 :-
→ 108 = 2 * 2 * 3 * 3 * 3
→ 144 = 2 * 2 * 2 * 2 * 3 * 3
HCF = 2 * 2 * 3 = 12 .
Now,
→ Perimeter od rectangular lot = 2(Length + width) = 2(108 + 144) = 2 * 252 = 504 m.
therefore,
→ Least number of trees Planted = 504 / 12 = 42 Trees (Ans.)
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