SOLUTION: The perimeter of a rectangle is 24cm Which of the following could not be the area of the rectangle. Please explain A. 40 cm2 B. 11 cm2 C. 27 cm2 D. 32 cm2 E. 20 cm2 Regar

It is very well known fact that among all rectangles with the given perimeter the maximum area has a square 
whose side is one forth of the given perimeter.


In this problem, one forth of the perimeter is   = 6 cm.


Therefore, the maximum possible area is  6*6 = 36 cm^2.


Any area below or equal this value is achievable.


Any area above this value is not achievable.



So, the area 40 cm^2 (case A) is not achievable.   It is your ANSWER.


Any area below or equal to 36 cm^ is achievable.