<PRE><B>Question 817049</B>
63 = 2w + L
L = 63 - 2w
a = wL
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a = wL
a = w(63 - 2w)
a = 63w - 2w^2
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a(w) = -2w^2 + 63w
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the above quadratic equation is in standard form, with a=-2, b=63, and c=0
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to solve the quadratic equation, plug this:
-2 63 0
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic vertex is a maximum at ( w= 15.75, a(w)= 496.125 )
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Answer:
the maximum area is 496.125 sq.ft ( a(w) from the vertex )
w = 15.75 ft ( w from the vertex )
L = 31.50 ft ( calculated from above equation for L using w )
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