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Hatesmath324
Hatesmath324 Hatesmath324
  • 24-03-2016
  • Mathematics
Answered

My assignment says The perimeter of a rectangle is 30 cm.

Find the whole-number dimensions of the rectangle with:

Athe greatest area
Bthe least area

can someone explain?

Verified Answer :

Anonymous Anonymous
  • 24-03-2016

Let side be "a" cm. So another side is (30-2a)/2=15-a
S=ab=a(15-a)=15a-a^2 - parabola
maximum when  a =  -15/-2=7.5 cm 
When a=7.5 all sides are 7.5 cm 
So it's a square. S=aa=7.57.5=56.25 cm^2 - max
There is no global minimun for S.(look at the graphic)

View image Anonymous
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