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Let steel side be y feet and wood side be x feet.
Cost C = 5*(x+x)+3y= 10x+3y
xy = 920 giving = 920/x
Hence, C = 10x+3*920/x
dC/dx = 10 -3*920/x^2 = 0 foe minimum cost
Or, x = sqrt(2*92) =16.613
y = 920/16.613 = 55,377
Hence, wood side = 16.6 feet and steel side = 55.4 feet. Ans.
I considered area as 920. I think it is 929.
In that case, wood side = 16.7 ft and steel side = 55.6 ft.
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