Question

Find the perimeter of the rectangle is the length is 5 1/2m and breadth is 4 2/3m.

Answer 1

Answer :-

• The perimeter of the rectangle is 20 1/3 m.

To find :-

• The perimeter of the rectangle.

Step-by-step explanation :-

• Here, the length and breadth of a rectangle are given to us. We have to find it's perimeter!

We know that :-

$\bigstar \: \underline{ \boxed{\sf Perimeter_{(rectangle)} = 2 \: (Length + Breadth)}}$

Here,

• Length = 5 1/2 m.
• Breadth = 4 2/3 m.

Therefore,

$\implies \rm Perimeter = 2 \: \left( 5\dfrac{1}{2} + 4 \dfrac{2}{3} \right)$

$\implies \rm Perimeter = 2 \: \left( \dfrac{11}{2} + \dfrac{14}{3} \right)$

$\implies \rm Perimeter = 2 \: \left( \dfrac{11 \times 3 + 14 \times 2}{6} \right)$

$\implies \rm Perimeter = 2 \: \left( \dfrac{33 + 28}{6} \right)$

$\implies \rm Perimeter = 2 \: \left( \dfrac{61}{6} \right)$

$\implies \rm Perimeter = \not2 \times \dfrac{61}{ \not6 \: }$

$\implies \rm Perimeter = 1 \times \dfrac{61}{3}$

$\implies \rm Perimeter = \dfrac{61}{3}$

$\implies \rm Perimeter = 20\dfrac{1}{3} \: m$

Hence :-

• The perimeter of the rectangle is 20 1/3 m.

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Some more formulae :-

• Perimeter of a rectangle = 2 (Length + Breadth).

• Area of a rectangle = Length × Breadth.

• Length = Area/Breadth.

• Breadth = Area/Length.