SOLUTION: A veterinarian wishes to use 156 feet of chain-link fencing to enclose a rectangular region and subdivide the region into two smaller rectangular regions, as shown in the following
Algebra.Com
Question 1207295: A veterinarian wishes to use 156 feet of chain-link fencing to enclose a rectangular region and subdivide the region into two smaller rectangular regions, as shown in the following figure. If the total enclosed area is 864 square feet, find the width w and length l of the enclosed region.
w = ft (smaller width) by l = ft
w = ft (larger width) by l = ft
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Set up an equation for the perimeter using the total length of the fencing and the variables representing the width and length of the region.
if a veterinarian wishes to use feet of chain-link fencing ,
...solve for
......eq.1
if the total enclosed area is , we have
....substitute
using quadratic formula we get
=>larger width
=>smaller width
calculate the lengths
answer:
(smaller width) by
(lager width) by
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The lengths of fencing are the width 3 times and the length 2 times; the total is 156 feet:
The area of 864 square feet is length times width:
Solve the first equation for the width w and substitute in the second equation.
or
If then
First solution: length 24, width 36
CHECK: 24*36=864; 3(36)+2(24)=108+48=156
If then
Second solution: length 54, width 16
CHECK: 54*16=864; 3(16)+2(54)=48+108=156
ANSWERS:
(1) width 36, length 24
(2) width 16, length 54
RELATED QUESTIONS
A veterinarian wishes to use 132 feet of chain-link fencing to enclose a rectangular... (answered by jorel555)
A veterinarian wishes to use 192 feet of chain-link fencing to enclose a rectangular... (answered by mykasha)
A veterinarian wishes to use 108 feet of chain-link fencing to enclose a rectangular... (answered by Alan3354)
A veterinarian wishes to use 168 feet of chain-link fencing to enclose a rectangular... (answered by Theo)
a veterinarian uses 240 feet of chain-link fence to enclose a rectangular region and to... (answered by ikleyn)
a gardener wishes to use 600 feet of fencing to enclose a rectangular region and... (answered by TimothyLamb)
a gardener wishes to use 600 feet of fencing to enclosd a rectangular region and... (answered by TimothyLamb)
A rancher wishes to use 86 ft of fencing to enclose a rectangular paddock and subdivide... (answered by ankor@dixie-net.com)
You have 188 feet of fencing to enclose a rectangular region. What is the... (answered by rapaljer)