Algebra 2 function

Question

A dog pen has a perimeter of 200 feet. Write an equation for the area A(w) of the dog pen as a function of its width, w.

Answer 1

100=L+w

L=100-w

A=Lw

A(w)=100w-w^2

=w(100-w)

w=50 feet for max area

max A = 2,500 square feet