Question

10. How many trees can be planted at a distance of 6 metres each around a rectangular plot whose length is 120 m and breadth is 90 m?
no spam

Answer 1

Step-by-step explanation:

• ➳Distance between n Trees = (n - 1) * (Distance between two trees)

• ➳=> n = Distance between n Trees /

• ➳(Distance between two trees) +1

• ➳Length = 120 m

• ➳Number of trees = (120/6) + 1 = 21

• $\large{\blue{\bigstar}} \: \: {\underline{\boxed{\red{\sf{Breadth = 90 m }}}}}$

• ➳Number of trees = (90/6) + 1 = 16

• ➳Corner tress are counted twice

• ➳Number of trees = 70
• ➳Number of trees = 2(21 + 16) - 4

• ➳Number of trees = 2(37) - 4

=> number oCorner tress are counted twice

• ➳ Number of trees = 2(21 + 16) - 4

• ➳Number of trees = 2(37) - 4

$\tt\large\underline{number \: of trees = \: 74 - 4}$

$\large{\blue{\bigstar}} \: \: {\underline{\boxed{\red{\sf{ Number \: of \: trees\: = 70 }}}}}$

$\large{\blue{\bigstar}} \: \: {\underline{\boxed{\red{\sf{ }Number \: of \: trees \: = 70}}}}$

Answer 2

❍ Given :-

• Length = 120 m
• Breadth = 90 m

❍ To Find :-

• Number of trees that can be planted in the rectangular plot given

❍ Solution :-

We know that,

$\tt \fbox{Perimeter = 2(l + b)}$

$\tt →Perimeter = 2(120 + 90)$

$\tt →Perimeter = 2(210)$

$\tt →Perimeter = 420 \: cm$

➸ It is given that tree can be planted at a distance of 6m,

So, numbers of trees that can be planted $\sf = \dfrac{\cancel{420}}{\cancel{6}}$

$\tt = \fbox{70 \: trees}$

Hence, 70 trees can be planted in the rectangular plot.