A rectangular field will be fenced on all four sides. Fencing for the north and south sides costs $5 per foot and fencing for the other two sides costs $9 per foot. What is the maximum area that can be enclosed for $6000?

2 answers

6000=2(5x)+2(9x)
6000=10x+18x
6000=28x
214.3=x

214.3*214.3 = 45924.5 sq ft

A square gives the maximum area. So therefore the sides are equal(x).
Kerbie:
HOW THE SIDES ARE EQUAL SINCE IT IS A RECTANGULAR GARDEN?