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Question

A total of 800 m of fencing material is used to enclose a rectangular field and divide the field into four portions by fences parallel to the sides of the field. Find the maximum area that can be enclosed in this rectangle and state the dimensions of the rectangle

 

Answer 1

Draw and label a diagram

w represents the length of each side and each partition

4w is the length of the fence used for the sides and the partitions

(800 - 4w)/2 represents the length

A = 4w(400 - 2w)

 

Put that equation into vertex form and determine the value of w for a maximum.