A foot path of uniform width runs all around inside of a rectangle field 45m long and 36m wide. If the area of the path is 234 m , find the width of the path

The width of path is 1.5 m                                        

Step-by-step explanation:

We are given the following in the question:

Field:

Length = 45 m

Width = 35 m

Area of filed =

The area of rectangular field the is 1620 square meter.

Area of path = 234 m

Let x be the width of path.

Area of field without path = 1620 - 234 = 1386 square meter.

Now, dimensions of field without path is:

Length =

Width =

Thus, we can write:

We cannot take the width as 39 m, thus, the width of path is 1.5 m.