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SOLUTION
Write out the given information
[tex]\begin{gathered} \text{ratio of the length to width is 8;5} \\ \text{Hence } \\ \text{length:width = 8:5} \end{gathered}[/tex]Then
[tex]\begin{gathered} \text{The width of the table=40in} \\ \text{Let the length of the table =L inches } \end{gathered}[/tex]Then
Appplying the principle of ratio, we have
[tex]\begin{gathered} \text{the ratio of the length of the rectangular laptop=the ratio of the table} \\ \text{Hence } \\ \frac{8}{5}=\frac{L}{40} \end{gathered}[/tex]Taking the cross product of the equation above, we have
[tex]\begin{gathered} 5L=40\times8 \\ \\ \end{gathered}[/tex]Divide both sides by 5, we have
[tex]\begin{gathered} \frac{5L}{5}=\frac{40\times8}{5} \\ \text{Then} \\ L=8\times8=64in \\ L=64in \end{gathered}[/tex]Hence,
The length of the table is 64 inches
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