Question

8. Find the length of diagonal of a rectangle whose length and breadth are 12 m and 5 m respectively.​

Answer 1

$\pink{ \boxed{\boxed{\begin{array}{cc} \leadsto \bf \: given \\ \\ \bf \to \: length \: of \: rectangle \: \: l =12 \: m \\ \\ \bf \to \: breadth \: of \: rectangle \: \: b = 5 \: m \\ \\ \underline{ \sf \: we \: have \: to \: find \: } \\ \\ \small{\blue{ \boxed{ \bf \to \: length \: of \: diagonal \: of \: \: the \: rectangle = d}}} \\ \\ \end{array}}}}$

$\sf \: we \: know \: that : \\ \\ \rm \: for \: rectangle, \: \\ \bf \: \to \: length \: of \: diagonal \: \: \green{\boxed{ \bf \: d = \sqrt{ {l}^{2} + {b}^{2} } }}$

Here,

• l = denotes length
• b = denotes breadth

Now, according to the question,

${ \boxed{\boxed{\begin{array}{cc} \to \bf \: diagonal \: \: d = \sqrt{ {(12)}^{2} + {(5)}^{2} } \\ \\ = \sqrt{144 + 25} \\ \\ = \sqrt{169} \\ \\ = \sqrt{ {(13)}^{2} } \\ \\ = 13 \: m \\ \\ \blue{\boxed{ \bf \therefore \: diagonal \: \: d = 13 \: m}} \end{array}}}}$