SOLUTION: The sum of the base and height of a rectangle is 69 cm. Find the dimensions for which the area is maximum

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Question 848465: The sum of the base and height of a rectangle is 69 cm. Find the dimensions for which the area is maximum
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
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

b = 69/2 when A is maxed and h = 69/2 (rectangle a square)
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