SOLUTION: The area of a rectangle with 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.
Algebra ->
Customizable Word Problem Solvers
-> Geometry
-> SOLUTION: The area of a rectangle with 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.
Log On
Question 272116: The area of a rectangle with 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. Answer by palanisamy(496) (Show Source):
You can put this solution on YOUR website! Given, Area A = 50w-w&2
Differentiating withrespect to w, we get
dA/dw= 50-2w
For maximum or minimum value of A,
dA/dw=0
50-2w=0
50=2w
50/2=w
w=25
(