Question

A rancher plans to construct a rectangular pen for a cow with an
area of 20 square feet.

Three sides of the pen will be constructed from fencing that costs
$20 per foot of length and the

remaining side will be a stone wall that costs $52 per foot of
length. Find the minimum cost to build

this pen.

Answer #1

Jesse wants to build a rectangular pen for his animals. One side
of the pen will be against the barn; the other three sides will be
enclosed with wire fencing. If Jesse has 700 feet of fencing, what
dimensions would maximize the area of the pen?
a) Let w be the length of the pen perpendicular to the barn. Write
an equation to model the area of the pen in terms of w
Area =
b) What width w would...

Ben wants to build a rectangular enclosure for his animals. One
side of the pen will be against the barn, so he needs no fence on
that side. The other three sides will be enclosed with wire
fencing. If Ben has 450 feet of fencing, you can find the
dimensions that maximize the area of the enclosure.
A(W)=A(W)=
b) What width WW would maximize the area?
WW = ft
Round to nearest half foot
c) What is the maximum area?
AA...

A rectangular pen with 5 parallel internal partitions is to be
constructed
so that the total area of the pen is 1000 square meters. The
purpose of the pen is to
keep 6 animals enclosed but separate. What is the minimum length of
fencing needed
to construct this pen?

We wish to build a rectangular pen. Three of the sides will be
made from standard fencing costing $7 per foot; the fourth side
will be made using a decorative fence costing $19 per foot. If the
total enclosed area must be 1200 sq. ft., what are the dimensions
of the pen with the lowest total cost? What is that total cost?
short side:
long side:
total cost:

A rancher with 1000 feet of fencing wants to enclose a
rectangular area and then divide it into three pens with fencing
parallel to one side of the rectangle as indicated below. If x
represents the length of the common fence, find a function that
models the total area of the three pens in terms of x. (Your answer
will be a function or expression.)

A fence is to be built to enclose cows in a rectangular area of
200 square feet. The fence along three sides is to be made of
material that costs $5 per foot, and the material for the fourth
side costs $16 dollars per foot. Find the dimensions of the
enclosure that minimize cost, and give the minimum cost to build
the fence

A rancher wants to fence in an area of 2000000 square feet in a
rectangular field and then divide it in half with a fence down the
middle parallel to one side. Suppose that that the fence for the
outer part of the rectangle costs $7 per foot, while the cost of
the “dividing” fence down the middle costs $4 per foot. What is the
least amount of money the rancher can spend on the fence, and what
dimensions for...

You want to form a rectangular pen of area, a = 60
ft2 (see the figure below). One side of the pen is to be
formed by an existing building and the other three sides by a
fence. If w is the width of the sides of the rectangle
perpendicular to the building, then the length of the side parallel
to the building is L = 60/w. The total amount of
fence required is the function F = 2w +...

A fence is to be built to enclose a rectangular area of 280
square feet. The fence along three sides is to be made of material
that costs 5 dollars per foot, and the material for the fourth side
costs 14 dollars per foot. Find the length LL and width WW (with
W≤LW≤L) of the enclosure that is most economical to construct.

(1 point) A fence is to be built to enclose a rectangular area
of 310 square feet. The fence along three sides is to be made of
material that costs 6 dollars per foot, and the material for the
fourth side costs 14 dollars per foot. Find the length L and width
W (with W≤L ) of the enclosure that is most economical to
construct.

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