Question 271986
The area of a rectangle with the perimeter 100 in.
 is given by the formula: A=50w-w^2 where w is the width.
 Find the value of w that produces the maximum area.
:
There is an easy way, this is a quadratic equation, 
then put the given equation A = 50w - w^2 in the form y = ax^2 + bx + c
y = -w^2 + 50w where: a=-1, b=50
:
Find the axis of symmetry using the formula x = -b/(2a), in this equation
w = {{{(-50)/(2*-1)}}}
w = {{{(-50)/(-2)}}}
w = 25 in will produce max area
:
The max area of any rectangle is a square, a fact to remember.