Question

A rectangular garden 30 m long and 25 m wide has a path 2.5 m wide running all around
inside it. Find the area of the path.​

Answer 1

$\textbf {\underline {\underline {Step-By-Step\:Explanation}}}$

$\huge\sf\purple {Given:}$

• Length and breadtg of Rectangular garden is 3o m and 25 m , respectively.
• Width of the path inside 2.5 m

$\huge\sf\blue {To\:Find:}$

• Area of the path

$\huge\sf\pink {Formula\:used}$

• Area of rectangle = length × breadth

$\huge\underline\green {\tt Solution:}$

For Outer rectangle,

Area = length × breadth

= 30 × 25

= 750 $m^2$

Now,

➡ To find Inner length :

30 - ( 2.5 + 2.5 )

= 30 - 5

= 25 m

➡ To find Inner breadth/width

25 - ( 2.5 + 2.5 )

= 25 - 5

= 20 m

➡ $\sf\blue {Inner\:Area}$

= 25 ×20

= 500 $m^2$

Now,

$\sf\green {Area\:of\:Path}$ = outer area - Inner area

= 750 - 500

= $\sf\green {250}$

Hence,

The area of the path is $\sf\red {250}\: m^2$.