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.
Answer & explanation
Correct answer: option 1
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