Question 848465
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Hi,
The sum of the base and height of a rectangle is 69 cm. 
Find the dimensions for which the area is maximum (When it is a Square)
 b + h = 69cm
 b = h = 69cm/2 = 34.5cm
the dimensions  34.5cm  by 34.5cm
Note:
 A= b(69-b)
A =  -b^2 + 69  |Completing Square to find Maximum Point
{{{A = -(b - (69/2))^2 + (69/2)^2}}}
      b = 69/2 when A is maxed and h = 69/2  (rectangle a square)