The area, A, in square feet, of the base of a rectangular storage bin in a warehouse is given by the function A(x) = -2x2+ 36x, where x is the width, in feet, of the storage bin.

Part B: The process of completing the square can be used to calculate the width, in feet, of the storage bin that gives a maximum area.

A(x) = -2x2 + 36x

A(x)= -2(x – 9)2 + ___

What is the missing value in the work shown?

A.
162

B.
-81

C.
-162

D.
81