SOLUTION: How many square cm are in the greatest area that can be enclosed by a rectangle whose perimeter is 200 cm? I made a guess of 198 cm squared (99 cm x 2 cm), is this correct?

Algebra ->  Rectangles -> SOLUTION: How many square cm are in the greatest area that can be enclosed by a rectangle whose perimeter is 200 cm? I made a guess of 198 cm squared (99 cm x 2 cm), is this correct?      Log On


   



Question 594486: How many square cm are in the greatest area that can be enclosed by a rectangle whose perimeter is 200 cm? I made a guess of 198 cm squared (99 cm x 2 cm), is this correct?
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
198 cm squared (99 cm x 2 cm) is not possible for that has a perimeter
of 202 cm.

It could either be 99 cm squared (99 cm x 1 cm) or 

196 sm squared (98 cm x 2 cm) 

But those are both small in area compared to the rectangle with the 
greatest area:

The largest rectangle in area is 2500 cm squared (50 cm x 50 cm), which is 
when the rectangle is a square.

Edwin