A rectangular field is enclosed with 100 m of fencing along three sides (one side is a barn). Which polynomial gives the area in terms of width w?
A A(w) = w(100 − 2w)
B A(w) = w(100 − w)
C A(w) = 100w − w²
D A(w) = (100 − w)²
Explanation
Length = 100 − 2w (two widths cover both perpendicular sides). Area = w · (100 − 2w).