Question

A field is 70 m long and 40 m broad. A pathof uniform width runs all around inside the field and covers an area of 1000 m2. Find the width of the path.

Answer 1

Answer:

5

Step-by-step explanation:

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