A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 60 ft of fence?

2x+y=60.

Arae A=xy.

=x(60-2x).

=60x-2x^2.

Maximum value occurs at vertex given by f(-b/2a).

=f(-60/2*-2)=f(15).

Maximum area =60*15-2*15^2=450.

What should the dimensions of the garden be to give this area 30x 15ft.

the maximum area that the farmer can enclose with 60 ft of fence is 450 sq ft.

the dimensions of the garden to give this area is 30ft by 15 ft