Question 35607
LEt the length be x
Let the width be w
Now 2x+2w=400
SO l=200-w (subsitution)
Use calculus to solve this problem.
Now I will only give you the answer, try to find the critical points, domain, etc by yourself.
Let the area be A:
SO:
xw=A
Subsitute for l:
(200-w)(w)=A
A=w^2-200w
Differentate with respect to w
A'=2w-200
2w=200
w=100
x=200-100
x=100
Henc,e the length is 100 and the width is 100
and the area is 100^2.
Paul.