Question

The management of a store wishes to add a fenced in rectangular storage yard of 20,000 sq.ft. using the building as one side of the yard. Find the minimum amount of fencig that must be used to enclose the reamining 3 sides of the yard. Find the dimensions

Answer 1

the answer at the back was w=100' and l=200'

Answer 2

so far i did \[20,000=2x+y\]
\[y=20,000-2x\]
then i plugged that into
\[A=x \times y\]
\[A= x(20,000-2x)\]
\[A=20,000 - 2x ^{2}\]
then I got the derivative of that
\[A'= 20,000 - 4x\]
then I got
\[x=5,000'\]
Then I plugged that into \[y=20,000 - 2x\]
and I got \[y=10,000'\]

Answer 3

is the other way aroud you hav 20,000 SQUARE feet...what do you think of?

Answer 4

so i squred 20,000?

Answer 5

lol

Answer 6

oh A=20,000

Answer 7

so how would I do this problem :\

Answer 8

well you think of area because is a SQUARE thus A=>xy=20000

Answer 9

take derivative of perimenter and solve for x

Answer 10

\[P'=2 + \frac{ 20000 }{ x^2}\]
is this the derivative of the perimeter? xD

Answer 11

ok then what o:

Answer 12

solve for x

Answer 13

how can i get \[x^2\] by itself here

Answer 14

\[\frac{ -20000 }{ x^2 }=-2\]
\[-20000=-2x^2\]
\[10000=x^2\]
\[x=\sqrt{10000})\]

Answer 15

\[A-->y=\frac{ 20000 }{ \sqrt{10000} }\]

Answer 16

okay thank you <333

Answer 17

yw