Question

A park is 10m long and 8m broad.The length of the longest pole that can be placed in the park (a) 8m (b) 12.8m (c) 12.4m (d) 20m​

Answer 1

Given: Length of the park is 10m and breadth of the park is 8m.

Need to find: The length of the longest pole (diagonal) that can be placed in the park.

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$\underline{\bf{\dag\;}\frak{As\;we\;know\;that:}}$

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$\star\;\boxed{\pink{\sf{Diagonal_{(rectangle)}=\sqrt{L^2+B^2}}}}$

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Therefore,

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$\begin{gathered}:\implies\sf{\sqrt{10^2+8^2}}\\\\\\\\:\implies\sf{\sqrt{100+64}}\\\\\\\\:\implies\sf{\sqrt{164}}\\\\\\\\:\implies\underline{\boxed{\frak{\pink{\approx 12.8\;m}}}}\;\bigstar\end{gathered}$

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$\therefore\;{\underline{\sf{Hence,\;the\;length\;of\;the\;longest\;pole\;is\;{\textsf{\textbf{12.8\;m}}}}.}}$⠀⠀⠀