Simon has

160

160160 meters of fencing to build a rectangular garden.

The garden's area (in square meters) as a function of the garden's width

w

ww (in meters) is modeled by

A

(

w

)

=

−

w

(

w

−

80

)

A(w)=−w(w−80)A, left parenthesis, w, right parenthesis, equals, minus, w, left parenthesis, w, minus, 80, right parenthesis

what width will produce the maximum garden area