Question

A square garden has an area of 2500 sq.m. A part of uniform width of 2.5m runs around it on the inside. Find the cost of laying it at Rs.25 per sq.m.

Answer 1

Area of a square garden = 2, 500 m².
Length of the side of the garden =  √2,500 = 50 m.
Width of the path = 2.5 m
.Path is inside the garden.
Width of the garden that is inside (enclosed) by the path: 50 - 2 * 2.5 = 45 m
Length of the garden inside by the path :  = 45 m.
So the area of garden inside the path = 45 * 45 m²       = 2, 025 m².
Area of the path = 2, 500 - 2, 025       = 475 m².
Cost of laying the path = Rs 25 /m² * 475 m²     = Rs 11, 875

Answer 2

Area of a square garden = 2, 500 m².
Length of the side of the garden =  √2,500 = 50 m.

Width of the path = 2.5 m.
Path is inside the garden.

Width of the garden that is inside (enclosed) by the path:
          50 - 2 * 2.5 = 45 m.
Length of the garden inside by the path :  = 45 m.

So the area of garden inside the path = 45 * 45 m²
       = 2, 025 m².

Area of the path = 2, 500 - 2, 025 
      = 475 m².

Cost of laying the path = Rs 25 /m² * 475 m²
     = Rs 11, 875.