A rectangular plot of land is 100 feet long and 50 feet wide. How long is the walkway along the diagonal? Round to the nearest foot.
+33661 From Pythagoras's theorem we have diagonal = √(1002 + 502) feet
$${\mathtt{diagonal}} = {\sqrt{{{\mathtt{100}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{50}}}^{{\mathtt{2}}}}} \Rightarrow {\mathtt{diagonal}} = {\mathtt{111.803\: \!398\: \!874\: \!989\: \!484\: \!8}}$$ feet
To the nearest foot this is 112 ft
+33661 From Pythagoras's theorem we have diagonal = √(1002 + 502) feet
$${\mathtt{diagonal}} = {\sqrt{{{\mathtt{100}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{50}}}^{{\mathtt{2}}}}} \Rightarrow {\mathtt{diagonal}} = {\mathtt{111.803\: \!398\: \!874\: \!989\: \!484\: \!8}}$$ feet
To the nearest foot this is 112 ft
