Question

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.

Answer 1

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

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