A Field is 70m long and 40m broad a path of uniform width runs all around inside the field and covers and area of 1000 square metre find the width of the path

Asked by Garodiasatyam | 24th Feb, 2019, 12:20: PM

Expert 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.

Answered by Yasmeen Khan | 24th Feb, 2019, 05:49: PM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.