calculus help

[dolphin6]

find the dimensions that produce the maximum floor area for a one-story house that is rectangular in shape and has a perimeter of 177ft.

 

[stapel]

Start by drawing the rectangle, and labelling the dimensions.

Use the perimeter information to solve for one of the dimensions in terms of the other.

Write out the area formula.

Plug the expression for the one variable into the area formula, resulting in an area formula in terms only of one variable.

Maximize.

If you get stuck, please reply showing how far you have gotten. Thank you.

Eliz.

Note: Since the area formula will be a quadratic, you could work this in the same way that you did back in algebra, if necessary.

 

[dolphin6]

reply

when I worked it out I got
P=L*W*L*w
P=2*L+2*w
P=(2*44.25)+2(44.25)
P+88.5+88.25
P+177

 

[stapel]

Where did you get that the perimeter is equal to L²W²?

Why are you picking values for the length and the width, instead of trying, as explained earlier (and required by the exercise) to find their values?

Please reply either clarifying what you are doing (which I don't understand -- sorry), or else showing how far you have gotten in following the step-by-step instructions, provided earlier.

Thank you.

Eliz.

 

[Unco]

Re: reply

G'day, dolphin6.

Your values for L and W are correct (of course it's a square!).