Mathematics

A rectangular field is 40 m long and 30 m broad. Find the length of its diagonal.

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Let, diagonal of the rectangle be BD.

BC = 30 m and CD = 40 m

By Pythagoras theorem,

Hypotenuse² = Perpendicular² + Base²

In right-angled triangle BCD,

⇒ BD² = BC² + CD²

⇒ BD² = 30² + 40²

⇒ BD² = 900 + 1600

⇒ BD² = 2500

⇒ BD = $\sqrt{2500}$

⇒ BD = 50 m

Hence, the length of its diagonal is 50 m.

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