Question

a wildfire organization wants to fence off an area of a beach. The organization can only fence 100 yd². what length (x) and width (y) should the organization use the Least amount of fencing as possible

Answer 1

It is given that the total area of the beach is 100 yd².

We have to find the length x and the width y that the organization shoul use to use the least amount of fencing as possible. it means that we have to find the dimensions for which parameter is leasr.

The perimeter of a rectangle is:

`P=2*(l+w)`

In option 1, the length is 50 yards and the width is 20 yards. then the perimeter will be (using the previous formula) equal to 140.

In option too the perimeter will be 130.

in option 3 the perimeter will be 134.44

and, in option 4 it will be 146.36

therefore the least perimeter is 130 when the length is 40 yd and the width is 25 yd.