Question

a path 3m wide is running along inside of the boundary of a rectangular field 116m by 76m. how much money is needed to gravel the path at Rs 42.50 per m square

plz give step to step answer

Answer 1

area of path = (area of field) - (area of field without path)

= (116 * 76) - [(116-3) * (76-3)]

= 8816 - 8249

= 567m²

total cost = 567 * 42.5 = ₹24097.5

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 .

THANKS