Math Questions and Answers

Start Your Free Trial

You have 196 feet of fencing to enclose a rectangular region. Find the Dimensions of the rectangle that maximizes the enclosed area.

Expert Answers info

jeew-m eNotes educator | Certified Educator

calendarEducator since 2012

write1,657 answers

starTop subjects are Math, Science, and Social Sciences

Let us say the lengths are X and Y

So 2(X+Y) gives the length of the fencing.

`2(X+Y) = 196`

`X+Y = 98`

`Y = 98-X`


If the area is A;

`A = X*Y`

`A = X*(98-X)`

`A = 98X-X^2`


When area is...

(The entire section contains 104 words.)

Unlock This Answer Now

check Approved by eNotes Editorial