Question 199556
L*w=42
2(L+w)=46
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L+w=23
L=23-w
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w(23-w)=42 substitute for L.
-w^2+23w=42
w^2-23w=-42 multiply each side by -1
w^2-23w+42=0
(w-21)(w-2)=0
w=2, L=21 or vice versa
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Ed