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Find the maximum area for a rectangle with the given perimeter 76 inches
 one year ago
 one year ago
Find the maximum area for a rectangle with the given perimeter 76 inches
 one year ago
 one year ago

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frecklesBest ResponseYou've already chosen the best response.0
Ok so what is the formula for perimeter of a rectangle?
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
dw:1347998976956:dw
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
Or give me the equation for the perimeter of that rectangle.
 one year ago

dmqrdh18Best ResponseYou've already chosen the best response.1
The only number I have to work with is the perimeter of 76 inches
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
Now what is the area of the rectangle I drew. Or what is the formula for the area of a rectangle.
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
You know the area of a rectangle is Length * Height right?
 one year ago

dmqrdh18Best ResponseYou've already chosen the best response.1
Yes the length x width
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
So here my rectangle has length=y and height=x right So the area of the rectangle is?
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
Do you know the calculus way or the algebra was to maximize the area?
 one year ago

dmqrdh18Best ResponseYou've already chosen the best response.1
Would I take 76 divided by 4 ?
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
Can you do the shortcut way? Is that allowed?
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
Do 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.
 one year ago

dmqrdh18Best ResponseYou've already chosen the best response.1
So it would be 19 for each side and times that by 2= 361
 one year ago

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