Question

You need to build a rectangular enclosure divided into 3 equal rectangular sections, occupying a total area of 200 square feet. The exterior fencing needs to be reinforced, and so costs $10 per linear foot, while the interior fencing only costs $2.50 per linear foot. Find the dimensions of the enclosure which five the minimum cost. be sure to justify that your solution is correct.

Answer #1

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 contractor is to build a warehouse whose rectangular floor
will have an area of
20002000
square feet. The warehouse will be separated into two
rectangular rooms by an interior wall. The cost of the exterior
walls is
$200200
per linear foot and the cost of the interior wall is
$175175
per linear foot. Express the contractor's cost for building
the walls, C, as a function of one of the dimensions of the
warehouse's rectangular floor, x.
c(x)=

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

You have $8000 with which to build a rectangular enclosure with
fencing. The fencing material costs $30 per meter. You also want to
have two partitions across the width of the enclosure, so that
there will be three separated spaces in the enclosure. The material
for the partitions costs $25 per meter. What is the maximum area
you can achieve for the enclosure? (Round your answer to the
nearest whole number.)

Suppose that a rectangular garden shall be fenced off and then
divided by a fence into two sections, as pictured below. There is
only 60 feet of fencing for the project. Find the dimensions l and
w of the garden which will maximize the area of the entire
rectangular garden. Be sure to check that these dimensions maximize
the area.

You have $4000 with which to build a rectangular enclosure with
fencing. The fencing material costs $30 per meter. You also want to
have two partitions across the width of the enclosure, so that
there will be three separated spaces in the enclosure. The material
for the partitions costs $25 per meter. What is the maximum area
you can achieve for the enclosure? (Round your answer to the
nearest whole number.)
_____ m^2

For tax reasons, I need to create a rectangular vegetable patch
with an area of exactly 200 square feet. The fencing for the east
and west sides costs $4 per foot, and the fencing for the north and
south sides costs only $2 per foot. What are the dimensions of the
vegetable patch with the least expensive fence?
north and south sides fteast and west sides ft

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.

For tax reasons, I need to create a rectangular vegetable patch
with an area of exactly 98 square feet. The fencing for the east
and west sides costs $4 per foot, and the fencing for the north and
south sides costs only $2 per foot. What are the dimensions of the
vegetable patch with the least expensive fence?
north and south sides ft
east and west
sides ft

A fence is to be built to enclose a rectangular area of 270
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 13 dollars per foot. Find the dimensions of the enclosure
that is most economical to construct.

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