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Tony walks 116.7 m diagonally across the lot.
Solution:
Length of the rectangle = 80 m
Width of the rectangle = 85 m
To find the diagonal of the rectangle:
Diagonal of the rectangle = [tex]\sqrt{l^2+w^2}[/tex]
[tex]=\sqrt{80^2+85^2}[/tex]
[tex]=\sqrt{6400+7225}[/tex]
[tex]=\sqrt{13625}[/tex]
[tex]=5\sqrt{545}[/tex]
Diagonal of the rectangle = 116.7 m
Hence Tony walks 116.7 m diagonally across the lot.