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YAY Optimization :)

so we have a rectangle
|dw:1334016584546:dw|
A = b * h
and we know that
b + h = 330 inches
Follow?

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so is that a standard formula?

This is normally what you do yes

Sorry my son is crying.

its fine :)

is that all there is to it?

Do you follow so far?

165?

sub a number smaller than 165 and a number larger than 165 into the function
A'(x) = 330 - 2h

Do this on your test for more marks :)

then check to see if it is positive or negative and put it in the square of the chart

so 330-2(164)?

Keep it simple !!! I would go 330 - 2(0)

= 330 this is positive
f'(x) > 0
Function is increasing so
|dw:1334017519222:dw|

Remember you can use any number smaller (unless it is not defined by the domain) :)

Fill in the next part of the chart :)

330-2(1)?

or 330-2(166)?

hell I will do it I should be studying General intermediary metabolism :) FML
|dw:1334017660396:dw|

yup you can tell that the function will give you a negative number right
330 - 2(166)

thus you can deduce that your graph looks something like this|dw:1334017724724:dw|

do you follow? If you dont understand something ask

do i use base times heighy?

|dw:1334017945453:dw|

solve for b to find the length of the base

0h 330-165. sorry Im way behind in this class. Its been a rough semester.

Do you see how obvious the answer is :) I hear you, I'm probably going to fail some of my classes :(

so what would the actual lengths of h and b, be

165 isnt right

I even explained how to get the final question earlier on lol. Think about it

you have
b= 165 inch
and
h = 165 inch
and you have a 4 sided rectangle

I went a little more of an indirect route because it kept the arithmatic simpler

The actual formula would be
2b + 2h = A
you cant make a 4 sided object with only 2 strands of wire

165/2 = 82.5 inches
|dw:1334018556160:dw|

for all sides

To get the max area of a rectangle all sides have to be the same length :)

sorry for over complicating it but you would get the same answer if you used 2b + 2h = Area

82.5 is not right either.

says who

82.5* 4 = 330

webworks

Webworks is wrong

To maximize the area of a rectangle all sides must be of equal length

dimension of maximum area? 82.5 in^(2)?

yes you probably forgot units

it doesnt require me to enter units

well I recommend email the people overseeing your course, but lets ask someone to check first

like who?

Someone else on the site

The answer I got is h = 82.5 and b = 82.5

thats right

Yeah I know lol

You sadisfied Laddius?

satisfied*

i suppose

do you understand the process?

Trust me it is right, logically it makes sense

The answer would be 85.5*85.5 or the Max Area sorry

the real answer would be 7310.25

sorry that is the answer I'm not use to using a calculator for these kinds of questions

try it I bet it works

nope

6806.25

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