Question

a field is 70 M long and 40m broad. a path of uniform wide runs All Around The Inside of the field and covers and area of 1000 m square .find the 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

Step-by-step explanation: