SOLUTION: you have a steel wire that is 108 inches long.to make a sign holder you bend the wire x inches from each end to form two right angles.to use the sign holder,you insert each end 4 i

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Question 1058612: you have a steel wire that is 108 inches long.to make a sign holder you bend the wire x inches from each end to form two right angles.to use the sign holder,you insert each end 4 inches into the ground.
(a)write the function for the rectangular area A enclosed by the sign holder in terms of x.
A=
(b)use the table feature of graphing utility to determine the value of x that maximizes the rectangular area enclosed by the sign holder.
x=

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

Each side that goes into the ground is x inches long.
Of that, x-4 is above ground.
Amount of wire forming the top, horizontal part is 108-2*x.
So the rectangular area, A, enclosed is:
A = +%28108-2x%29%28x-4%29+
= +108x-432-2x%5E2%2B8x+
= ++-2x%5E2+%2B+116x+-+432+