SOLUTION: A rectangular area is to be enclosed and then divided into thirds by two fences across the parallel to one pair of the sides. If the area to be enclosed is 1,250 square feet, what
Algebra.Com
Question 1156708: A rectangular area is to be enclosed and then divided into thirds by two fences across the parallel to one pair of the sides. If the area to be enclosed is 1,250 square feet, what dimensions will lead to the use of a minimum amount of fence.
Please show a graph for this math
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
Let the width be x; then the length is 1250/x.
The total length of fencing is 4 times the width plus two times the length.
Find the minimum amount of fencing by taking the derivative and finding when it is zero.
The dimensions of the field that uses the minimum length of fencing are x and 1250/x:
width x = 25
length 1250/x = 1250/25 = 50
The minimum amount of fencing required is 4(25)+2(50) = 200.
RELATED QUESTIONS
A farmer with 10,000 meters of fencing wants to enclose a rectangular field and then... (answered by ankor@dixie-net.com)
A rancher has 400 feet of fencing to put around a rectangular field and then subdivide... (answered by addingup,solver91311)
A rancher has 600600 feet of fencing to put around a rectangular field and then subdivide (answered by ikleyn)
Question 9: A rancher has 600 feet of fencing to put around a rectangular field and then... (answered by josmiceli)
A large open area is to have a section surrounded by a rectangular fence. This rectangle... (answered by ankor@dixie-net.com)
Researchers at a university need a 10,000 square meter rectangular plot on which to grow... (answered by ikleyn)
a rectangular pasture is to be fenced along 4 sides and divided into three parts by two... (answered by KMST)
A rectangular field is to be enclosed by a fence and divided into two parts by another... (answered by ankor@dixie-net.com)
I have 3 questions:
1, a rectangular field is to be enclosed by a fence and divided... (answered by richwmiller)