Question

A field is 70 m and 40 m broad.A path of uniform width runs all around inside the field and covers an area of 1000m^2.Find tge width of the path

Answer 1

Answer:

Area of an internal field = (70 - 2x)(40 - 2x)  

Width of the path = Area of a field - Area of an internal field

→1000 = 2800 - (70 - 2x)(40 - 2x)  

→x2 - 55x + 250 = 0

→(x - 50)(x - 5) = 0

x = 50 is not acceptable.

x = 5

Therefore,

The width of the path is 5 m.