Question

A 3m wide path is built along the boundary outside a square park of 30 m find area of the path

Answer 1

Answer: The answer is 360 m².

Step-by-step explanation:  Given that there is a square park of side 30 m. A wide path of breadth 3 m is built along the boundary of the square park. We need to find the area of the wide path.

The perimeter of the square park will be the length of the wide path and is given by

$L=30+30+30+30=120 ~\textup{m}.$

The breadth of the path is

$B=3\textup{ m}.$

Therefore, area of the wide path is

$A=L\times B=120\times 3=360~\textup{m}^2.$

Thus, the area of the path is 360 m².

Answer 2

Answer:

→ Area of the path = 861 m² .

Step-by-step explanation:

Given :-

→ Width of path = 3.5 m .

→ Side of square park along with path = 65 m .

To find :-

→ Area of the path .

Solution :-

∵ Side of square park without the path = 65 - ( 2 × 3.5 )  =  58 m .

Now, area of square park alnog with path

= side × side .

= ( 65 × 65 ) m² .

= 4225 m² .

And, area of square park without path

= side × side .

= ( 58 × 58 ) m² .

= 3364 m² .

Therefore, area of the path = ( 4225 - 3364 ) m² .

= 861 m² .

And, cost of measuring the rest of the field = 3364 × 25 .

= ₹86100 .

Hence, it is solved .

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