Question 129139
2L+2w=184
L*w=1920
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L=1920/w 
2(1920/w)+2w=184 Substitute 1920/w for L
3840/w+2w=184
3840+2w^2=184w multiply each side by x to eliminate fractions.
2w^2-184w+3840=0
2(w^2-92+1920)=0
w^2-92+2116=-1920+2116 complete the square
(w-46)^2=196
w-46=+-14
w=46+-14
w=60, w=32
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Ed