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dmqrdh18
 2 years ago
Find the maximum area for a rectangle with the given perimeter 76 inches
dmqrdh18
 2 years ago
Find the maximum area for a rectangle with the given perimeter 76 inches

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freckles
 2 years ago
Best ResponseYou've already chosen the best response.0Ok so what is the formula for perimeter of a rectangle?

freckles
 2 years ago
Best ResponseYou've already chosen the best response.0Or give me the equation for the perimeter of that rectangle.

dmqrdh18
 2 years ago
Best ResponseYou've already chosen the best response.1The only number I have to work with is the perimeter of 76 inches

freckles
 2 years ago
Best ResponseYou've already chosen the best response.0Now what is the area of the rectangle I drew. Or what is the formula for the area of a rectangle.

freckles
 2 years ago
Best ResponseYou've already chosen the best response.0You know the area of a rectangle is Length * Height right?

dmqrdh18
 2 years ago
Best ResponseYou've already chosen the best response.1Yes the length x width

freckles
 2 years ago
Best ResponseYou've already chosen the best response.0So here my rectangle has length=y and height=x right So the area of the rectangle is?

freckles
 2 years ago
Best ResponseYou've already chosen the best response.0Do you know the calculus way or the algebra was to maximize the area?

dmqrdh18
 2 years ago
Best ResponseYou've already chosen the best response.1Would I take 76 divided by 4 ?

freckles
 2 years ago
Best ResponseYou've already chosen the best response.0Can you do the shortcut way? Is that allowed?

freckles
 2 years ago
Best ResponseYou've already chosen the best response.0Do you know why it works? Are you taking calculus or algebra? And yes if you have a=2l+2w and you want to maximize A then to find where you have maximum area you do a/4=w=l. But you haven't found the max area. You just found at what w and l you have max area. You told me area is length times width Just plug those values in for w and l and magic! you will have the answer.

dmqrdh18
 2 years ago
Best ResponseYou've already chosen the best response.1So it would be 19 for each side and times that by 2= 361

freckles
 2 years ago
Best ResponseYou've already chosen the best response.0well you mean 19(19)=361 and yes that is correct great job! :)
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