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.

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).