Question


Rectangle
R
has varying length
l
and width
w
but
with a constant perimeter of 4 feet.
a)
Express the area
A
as a function of length
l
. Write a list of
everything you know about this function.
b)
For what values of
l
and
w
will the area of
R
be the greatest?
Give an algebraic explanation. Then give a geometric
explanation. Be sure to include a graph with relevant points
labeled.