Z varies directly with x and inversly with y^2 when x=2 y=5 z=8 what is the value of z when x=4 and y=9

The rectangular field is 425 feet by 125 feet.

Step-by-step explanation:

Let w represent the width of the rectangular field.

Since the length is 300 feet more than the width, the length can be modeled by the expression (w + 300).

The perimeter of a rectangle is given by the formula:

Where P is the perimeter and w and l are the width and length, respectively.

We are given that the perimeter is 1,100 feet. Substitute:

Divide both sides by two:

We know that l = (w + 300). So:

Simplify:

Divide both sides by two. So, the width is:

Since the length is 300 feet more than the width, that means the length is 425 feet.

The rectangular field is 425 feet by 125 feet.