Question

A field is 240 m long and 190 m broad. A path 8 m wide is to be built outside all around the field. Find the cost of gravelling the path at the rate of 2.35 per m sq​

Answer 1

The cost of gravelling the path at the rate of Rs. 2.35 per sq. m is Rs. 16769.60 .

Step-by-step explanation:

Given that, the length of the field is 240 m and the breadth of the field is the 190 m

Then the area of the field is

= 240 × 190 sq. m

= 45600 sq. m

Given that the width of the path is 8 m.

Then the length of the field with the path is

= 240 + (2 × 8) m

= 256 m

and its breadth is

= 190 + (2 × 8) m

= 206 m

So the area of the field with the path is

= 256 × 206 sq. m

= 52736 sq. m

Thus the area of the path is

= (52736 - 45600) sq. m

= 7136 sq. m

Therefore the cost of gravelling the path at the rate of Rs. 2.35 per sq. m is

= Rs. (7136 × 2.35)

= Rs. 16769.60