# math 099

posted by .

a rancher wants to use 300 feet of fencing to enclose a rectangular area of 4400 square feet. what dimensions should the rectangle have?

• math 099 -

length = x
width = y

x+y = 150 , y = 150-x

xy = 4400
x(150-x) = 4400
expanding and simplifying...
x^2 - 150x + 4400 = 0
(x-110)(x-40) = 0
x = 110 or x=40

if x=110, then y = 40
if x = 40, then y = 110

the dimenstions should be 110 ft by 40 ft

check: 2(110+40) = 300
(110)(40) = 4400

## Similar Questions

1. ### Precalculus

a farmer has available 1032 feet of fencing and wishes to enclose a rectangular area. If x represents the width of the rectangle for what value of x is the area the largest A) 256.5 feet b) 258 feet c) 256 feet d) 257 feet
2. ### math

A rancher has 296 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will produce the largest total area?
3. ### College Algebra

Rita has 88 feet of fencing. She wants to use this fencing to enclose a rectangular area of 480 square feet. What must the dimensions of her rectangular enclosure be?
4. ### Math

A rancher has 220 feet of fencing to enclose a rectangular corral. Find the dimensions of the rectangle that maximize the enclosed area, using all 220 feet of fencing. Then find the maximum area.
5. ### Math

Corinda has 400 feet of square fencing to make a play area. She wants the fenced area to be rectangular.What dimensions should she use in order to enclose the maximum possible area?
6. ### Calculus

A rancher wants to make an animal pen by fencing in an area of 2500000 square feet in a rectangular field and then divide it up with 5 fences down the middle parallel to one side. The rancher wants to use the shortest total length …
7. ### College Algebra

A rancher has 100 meters of fencing to enclose two adjacent rectangular corrals (see figure). The rancher wants the enclosed area to be 374 square meters. What dimensions should the rancher use to obtain this area?
8. ### Algebra

A rancher wishes to enclose a rectangular partitioned corral with 1932 feet of fencing. What dimensions of the corral would enclose the largest possible area?
9. ### College Algebra

A rancher wishes to enclose a rectangular partitioned corral with 1932 feet of fencing. What dimensions of the corral would enclose the largest possible area?
10. ### Math

1. A man has 22 feet by 26 feet rectangular lot that he will use for planting. He wants to build a brick of walkway of uniform width on the border of the lot. If the man wants to have 396 square feet of ground left for planting, how …

More Similar Questions