Question

find the dimensions of a rectangle with perimeter 1000 metres so that the area of the rectangle is maximum

Answer 1

Answer:

Dimensions length = 250, breadth =250

Explanation:

Perimeter P means adding up all 4 sides of a rectangle or P=w+w+L+L=2(w+L) where w is the width and L is the Length.

Area A=w*L

Area will be maximum  when the rectangle is a square or  where s=w=L.  

Step 3. So P=2(w+L)=2(s+s)=4s.  

Step 4. P=1000=4s or s=1000/4=250  

Area = 250*250 = 62,500