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