You mean the largest possible area with a perimeter of 18, right?
Well, the largest area is with a circle, which has area 81/pi which is approximately 25.7831
If you need a rectangular area, the largest is a square of width=length (definition of square) = 4.5
This has area 4.52 which is 20.25, substantially less than the circles area...
26
Yes
Yes.
3
The answer will depend on what those numbers represent and their units. It is possible that the question gives 18 and 5 units as the length and width of a rectangle and requires you to find the area and perimeter. Or It is possible that the question has given 18 in some units and 5 in some other units and requires you to determine which one could be the area and which the perimeter.
The smallest perimeter is 4*sqrt(24) = approx 19.6 cm There is no largest perimeter.
26
Greatest area is achieved by a square whose sides are 72/4 = 18 cm. The area, in that case, is 18*18 = 324 cm2
Largest = 86, Smallest 26
It is 36 cm2
Yes.
Yes
Yes.
Actually it is possible.
The smallest is just over 40 units. At 40 units it is no longer a rectangle but a square. There is no largest perimeter.
Yes.
For a given perimeter, the circle has the largest area possible.