You have 60 meters of fencing and want enclose an area for a garden; however, you want to set up the fence so that the largest possible area is enclosed within the fence. The shape may be a rectangle or a square. What is the length and width of the shape that will given the maximum area?

The length and width of the shape that will give the maximum area is 15 meters by 15 meters

Step-by-step explanation:

Mathematically, to maximize the area of a rectangle, the shape must be a square

what we are saying is that a square is the greatest rectangle

In that case , the length and width of the rectangle must be the same

Let’s have the width as w and since it is equal to length, we have the length too as w

We are given the length of the fencing which is the perimeter

Mathematically, the formula for this is ; 4w

Thus;

4w = 60

w = 60/4

w = 15 meters

a² + b²= c²

24² + 7² = c²

c= 25