noneeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
in Algebra 1 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

The maximum area is when the rectangle is a square.

If x is the side of the square, then its perimeter is 4x and width=length=x. So 4x=104 and x=104/4=26 feet.

(To prove that the maximum area is when the rectangle is a square we start with a square of area x². Then we shorten the width and increase the length by an amount h. Width=x-h and length=x+h. Width+length remains unchanged at 2x, so that means the perimeter, 4x, is also unchanged. The new area is (x+h)(x-h)=x²-h². The maximum value for this expression is x², when h=0. So length=width=x, a square.)

by Top Rated User (639k points)

Related questions

Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
82,833 questions
87,430 answers
1,964 comments
3,916 users