Question

Find the length of the rectangle, if its : (a) Perimeter = 56 cm, breadth = 13 cm find the length
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Answer 1

$\star \; {\underline{\boxed{\red{\pmb{\sf{ \; Given \; :- }}}}}}$

• Perimeter of Rectangle = 56 cm
• Breadth of Rectangle = 13 cm

$\star \; {\underline{\boxed{\gray{\pmb{\sf{ \; To \; Find \; :- }}}}}}$

• Length of Rectangle = ?

$\star \; {\underline{\boxed{\purple{\pmb{\sf{ \; SolutioN \; :- }}}}}}$

$\dag$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ Perimeter = 2 \bigg( Length + Breadth \bigg) }}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

$\dag$ Calculating the Length :

${\twoheadrightarrow{\qquad{\sf{ Perimeter = 2 \bigg( Length + Breadth \bigg) }}}} \\ \\ \\ \ {\twoheadrightarrow{\qquad{\sf{ 56 = 2 \bigg( Length + 13 \bigg) }}}} \\ \\ \\ \ {\twoheadrightarrow{\qquad{\sf{ 56 = 2 \; Length + 26 }}}} \\ \\ \\ \ {\twoheadrightarrow{\qquad{\sf{ 56 - 26 = 2 \; Length }}}} \\ \\ \\ \ {\twoheadrightarrow{\qquad{\sf{ 30 = 2 \; Length }}}} \\ \\ \\ \ {\twoheadrightarrow{\qquad{\sf{ \dfrac{30}{2} = Length }}}} \\ \\ \\ \ {\twoheadrightarrow{\qquad{\sf{ \cancel\dfrac{30}{2} = Length }}}} \\ \\ \\ \ {\qquad \; \; {\therefore \; {\underline{\boxed{\pink{\pmb{\frak{ Length = 15 \; cm }}}}}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

$\dag$ Therefore :

❛❛ Length of the Rectangle is 15 cm . ❜❜

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Answer 2

Here the perimeter and breadth of a rectangle is given

perimeter = 56 cm

breadth = 13 cm

We have to find the length of the rectangle

We will use the formula of perimeter of rectangle

Perimeter of rectangle = 2 ( length + breadth )

                              56 = 2 ( length + 13 )

                               28 = length + 13

                       length = 28 - 13

                       length = 15

Hence, the length of the rectangle will be 15 cm