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

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

freckles Group TitleBest ResponseYou've already chosen the best response.0
dw:1347998976956:dw
 2 years ago

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

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

freckles Group TitleBest ResponseYou've already chosen the best response.0
Right. So P=76
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
So we have 76=2x+2y
 2 years ago

freckles Group TitleBest 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.
 2 years ago

dmqrdh18 Group TitleBest ResponseYou've already chosen the best response.1
I'm not sure?
 2 years ago

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

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

freckles Group TitleBest 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?
 2 years ago

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

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

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

freckles Group TitleBest 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.
 2 years ago

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

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