Question

there is a 3 metre wide path on the inside running around a rectangular Park of length 48 metre and width 36 metre find the area of the path? ​

Answer 1

Answer :-

• The area of the path is 468m².

Step-by-step explanation :

To Find :-

• The area of the path

Solution:

Given,

• Length of the Rectangular park = 48m
• Breadth of the park = 36m

∴ Area of the park is,

=> Length × Breadth

=> 48m × 36m

=> ( 48 × 36 ) m²

=> 1728m²

Given,

• A 3m wide path on the inside running around the park

∴ The length of the park excluding the path:

=> [ 48 - ( 3 + 3 ) ] m

=> [ 48 - 6 ] m

=> 42m

∴ The breadth of the park excluding the path:

=> [ 36 - ( 3 + 3 ) ] m

=> [ 36 - 6 ] m

=> 30m

Now, The area of the park excluding the path:

=> Length × Breadth

=> 42m × 30m

=> ( 42 × 30 ) m

=> 1260m²

According the question,

• The area of the path

=> Area of the park - Area of the park excluding the path

=> 1728m² - 1260m²

=> ( 1728 - 1260 ) m²

=> 468m²

Hence,

• The area of the path is 468m².