The width of the path around a square field is 4.5 m and its area is 105.75 m². Find the cost of fencing the path at the rate of ₹100 per metre.

₹550

We have,

The width of the path around a square field = 4.5 m

The area of the path = 105.75 m²

For these types of questions we have a direct concept,

Area of path outside the Square is,  = (2x + 2y)2y = 105.75

here, x is a side of a square and y is width of a square

= (2x + 9)9 = 105.75

= 2x + 9 = 11.75

= 2x = 2.75

Perimeter of a square = 4x = 2 × 2a = 2 × 2.75 = 5.50

Cost of fencing = 5.50 × 100 = 550