Question

a path 3.5 m wide runs inside along the boundary of a square field whose side is 65 m. find the area of the path​

Answer 1

Answer: 861 m^2

Explanation:

Area of the path = Area of the square field - area of the remaining field inside the path

Step 1: Find the area of the square field

Area of the square field = s x s = 65 x 65 = 4225m^2

Step 2: Find the area of the remaining field

Side of the remaining field = Side of the field - 2 * width of the path = 65 - 2 x 3.5 = 58m

Area = 58 x 58 = 3364 m^2

Step 3: Subtract the areas

Area of the path = 4225 - 3364 = 861 m^2

Answer 2

Question:

→ A path 3.5 m wide runs inside along the boundary of a square field whose side is 65 m. find the area of the path​ .

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 .

Hence, it is solved .

THANKS .