2. 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?
108 m and 144 m

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? Therefore total number of \(432\) trees planted.

Step-by-step explanation:

so trees planted is 432

Answer Link

ACESMITH1IN ACESMITH1IN · Answer 2

Answer:

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.)

Learn more :-

Find the least number which when divide by 626, 618 and 676 leaves a remainder 3 in each

case.