160 m of fencing to enclose a quadrilateral shape pen (3 sided) for a children's play area. Determine the shape of the children's play area that gives the maximum area.

A square of side length 40 m will give the maximum area of the play area

Step-by-step explanation:

Mathematically, it has been established that a square gives the maximum area of a quadrilateral

Hence, for us to have a maximum area of the given perimeter, we have to divide the perimeter by 4 to get the side length of the square

From what we have, we know that the perimeter of the fencing is 160 m

To get the side length, we divide the perimeter by 4

Side length of the shape would be 160/4 = 40 m

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)