Question

A path 3.5 wide runs inside along the boundary of a square field whose side is 65 m find the area of the path also find the cost of measuring the rest of the field at the rate of rs 25 per square metre

Answer 1

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 .

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

= ₹86100 .

Hence, it is solved .

THANKS .

Answer 2

Answer:

Step-by-step explanation:

Area of ABCD = AB × CD

= 65 × 65

= 4225 m square

Area of EFGH = 65 - 7 × 65 - 7

= 58 × 58

= 3364 m square

therefore ar(ABCD) - ar(EFGH)

= 4225 - 3364

= 861 m square

Now,

COST OF MAURING THE REST OF THE FIELD = ₹(3364×25)

= ₹84100