SOLUTION: A petting zoo is working to construct a rectangular pen. The pen will have 2 partitions to create separate spaces for goats,sheep,and pigs. The petting zoo has 1000 feet of fencing
Algebra.Com
Question 1085512: A petting zoo is working to construct a rectangular pen. The pen will have 2 partitions to create separate spaces for goats,sheep,and pigs. The petting zoo has 1000 feet of fencing to use.
a. Write an area function (A(x)) that gives the area of the enclosure as a function of the length of a partition, x.
b. Find the dimensions of the pen that will provide the greatest area.
c. What is the maximum area that can be enclosed?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the length of a partition
= the total length of the 2 partitions
plus the ends that are parallel to the 2 partitions
= the length of the other side of the pen
-------------------------
(a)
-------------------------
(b)
This is a parabola with a maximum. Use the formula:
-----------------------------
Now find
-----------------------------
The dimensions for maximum area are:
125 x 250
--------------------------
(c)
31,250 ft2
--------------------------
check the answer:
OK
RELATED QUESTIONS
A petting zoo is working to construct a rectangular pen. The pen will have 3 partitions... (answered by ankor@dixie-net.com)
A petting zoo is working to construct a rectangular pen. The pen will have 1 partition to (answered by josgarithmetic)
Philip wants to construct a dog pen at the back of his garage. He will use the wall of... (answered by Boreal)
Fred wants to construct a rectangular chook pen, using a barn for one of the sides... (answered by lwsshak3)
Bobby is planning on making a rectangular pen for the class pig, "Bacon". He would like... (answered by josmiceli)
A pen is to be formed by enclosing a rectangular fenced area in an open field. The pen... (answered by ikleyn)
300 ft of fencing is available to fence a rectangular pen where one side will be ordered... (answered by rfer)
problem solving using quadratic functions:
Philip wants to construct a dog pen at the (answered by solver91311)
A rancher is going to construct a new rectangular pen for his emu farm. If he has 5200... (answered by rfer)