anonymous
  • anonymous
Find the maximum area for a rectangle with the given perimeter 76 inches
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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freckles
  • freckles
Ok so what is the formula for perimeter of a rectangle?
freckles
  • freckles
|dw:1347998976956:dw|
freckles
  • freckles
Or give me the equation for the perimeter of that rectangle.

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anonymous
  • anonymous
P= 2L+2W
anonymous
  • anonymous
The only number I have to work with is the perimeter of 76 inches
freckles
  • freckles
Right. So P=76
freckles
  • freckles
So we have 76=2x+2y
freckles
  • freckles
Now what is the area of the rectangle I drew. Or what is the formula for the area of a rectangle.
anonymous
  • anonymous
I'm not sure?
freckles
  • freckles
You know the area of a rectangle is Length * Height right?
anonymous
  • anonymous
Yes the length x width
freckles
  • freckles
So here my rectangle has length=y and height=x right So the area of the rectangle is?
freckles
  • freckles
Do you know the calculus way or the algebra was to maximize the area?
anonymous
  • anonymous
Would I take 76 divided by 4 ?
freckles
  • freckles
Can you do the shortcut way? Is that allowed?
anonymous
  • anonymous
Sure
freckles
  • freckles
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.
anonymous
  • anonymous
Geometry
anonymous
  • anonymous
So it would be 19 for each side and times that by 2= 361
freckles
  • freckles
well you mean 19(19)=361 and yes that is correct great job! :)
anonymous
  • anonymous
Thanks

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