Question

Find the length of the diagonal of a rectangle whose length = 12 m and breadth = 5 m .

Answer 1

Answer :

• 13 m

Given :

• length = 12 m
• breadth = 5 m

To Find :

• The length of the diagonal of a rectangle.

Using :

• Pythagoras theorem.

Diagram :

$\rm \:D \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:C \: \: \: \: \: \: \: \: \: \\ \cancel{{ \boxed{ \begin{gathered} \: \: \: \: \\ \: \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{gathered}}}} \: \rm{5 \: m} \\ \rm{A \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 12 \: m} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: B \: \: \: \: \: \: \:$

Solution :

• AC² = AB² + BC²
• AC² = 122 + 52
• AC² = 144 + 25
• AC² = 169
• AC = √169
• AC = 13 m

Therefore, Length of the diagonal AC is 13 m.

More knowledge :

• What is Rectangle ?

• Rectangle is a shape with similar opposite sides, only 2 sides are equal. With 4 equal sides shape is called as square.

Properties :

Properties of rectangle are :

• Opposite sides are equal and parrallel.
• Opposite angles are equal.
• Adjacent angles are supplementary.
• Diagonals are equal.
• Each of the angles is a right angle.

Answer 2

Given :

• Length of Rectangle = 12m
• Breadth of Rectangle = 5m

To Find :

• Diagonal of Rectangle

Solution :

✰ Using Pythagoras Theorem :

⟹ (Diagonal)² = (Length)² + (Breadth)²

⟹ (Diagonal)² = (12)² + (5)²

⟹ (Diagonal)² = 144 + 25

⟹ (Diagonal)² = 169

⟹ Diagonal = √169

⟹ Diagonal = 13m

Thus Diagonal of Rectangle is 13m

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★ Additional Info :

Formulas Related to Rectangle:

• Perimeter of Rectangle = 2( l + b)
• Area = Length × Breadth
• Length = Area / Breadth
• Breadth = Area / Length
• Diagonal = √(l)² + (b)²

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