Question

A rectangular-shaped school field has a length of 24 meters and a width of 18 meters. If trees are planted on its sides with gaps of 2 meters between them, how many trees are needed​

Answer 1

Answer:

32 trees can be planted.

Given:

• Length of the rectangular field = 24m
• Width of the rectangular field = 18 m
• On its sides, one tree is planted in every 2 metre

To Find:

• The number of trees that can be planted.

Solution:

( The trees are planted on its sides. So, we need to find the perimeter of the rectangular field )

Perimeter of rectangle = 2( length + width )

= 2 ( 24m + 12m )

= 2 ( 36 m )

= 72 m

72 m is the perimeter of the field.⠀⠀⠀⠀⠀⠀⠀⠀⠀

( To find the number of trees that can be planted around its sides, we need to divide the perimeter of the field by the quantity of space that a tree will occupy )

⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf Number \: of \: trees = \dfrac{Perimeter \: of \: the \: field}{Space \: taken\: by \: 1 \: tree}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf Number \: of \: trees = \dfrac{72m}{2m}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf Number \: of \: trees = 31 \:$

⠀⠀⠀⠀⠀⠀⠀⠀⠀

31 trees can be planted.