Saturday

November 29, 2014

November 29, 2014

Posted by **tiffany** on Thursday, June 20, 2013 at 10:03pm.

2. For what value of x is the area largest?

3. What is the maximum area?

- calculus -
**Reiny**, Thursday, June 20, 2013 at 10:31pmlet the length be x

let the width be w

but 2x + 2w = 240

x + w = 120

w = 120-x

area = xw = x(120-x)

= -x^2 + 120x

d(area)/dx = -2x + 120

= 0 for a max of area

-2x = -120

x = 60

then w = 120-60 = 60

for the max area the rectangle should be a square of 60 ft by 60 ft

for a max area of 3600 ft^2

**Answer this Question**

**Related Questions**

SECONDARY ALGEBRA - A rectangular field is to be fenced off with 120 m of ...

yetf8edfueidcyt87e - a farmer wishes to fence off a rectangular field with 1,000...

Algebra - Word Problems: 1. A farmer has 2400 feet of fencing and wants to fence...

math - mr.periwinkle owns a ranch.he wants to add an area in the shape of an ...

Geometry - A farmer uses 140 ft. of fencing to enclose a rectangular field. if ...

math - A total of 800m of fencing material is used to enclose a rectangular ...

College Algebra - Rita has 88 feet of fencing. She wants to use this fencing to ...

math - 1) A rancher wants to enclose two rectangular areas near a river, one for...

pre-calc - area of a rectangular region: a farmer wishes to create two ...

Calculus - A rancher wants to make an animal pen by fencing in an area of ...