Question 1068223
Here is only a start:


L, length
w, width
{{{system(w=2L-5,wL=174)}}}


{{{L(2-5)-174=0}}}


{{{2L^2-5L-174=0}}}



The PLUS form for L will be needed.
{{{system(L=(5+sqrt(1417))/2,w=(-5+sqrt(1417))/2)}}}
.
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Find diagonal.