Question

the length of a rectangular field is 5 times is breadth . if the perimeter of the field is 36m fund its length and breadth​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

${\underline{\underline{\maltese{\pmb{\orange{\sf{ \; Given \; :- }}}}}}}$

• Perimeter of Rectangle = 36 m
• Length is 5 times the Breadth .

${\underline{\underline{\maltese{\pmb{\green{\sf{ \; To \; Find \; :- }}}}}}}$

• Length of Rectangle = ?
• Breadth of Rectangle = ?

${\underline{\underline{\maltese{\pmb{\pink{\sf{ \; SolutioN \; :- }}}}}}}$

✯ Formula Used :

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

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✯ According to the Question :

$\longmapsto$ Let the Breadth be y .So,

$\qquad \; {\pmb{\sf{ Breadth = y \; cm }}}$

$\longmapsto$ Length is 5 times the Breadth .So,

$\qquad \; {\pmb{\sf{ Length = 5y \; cm }}}$

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✯ Calculating the Value of y :

${\dashrightarrow{\qquad{\sf{ Perimeter = 2 \bigg( Length + Breadth \bigg) }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ 36 = 2 \bigg( 5y + y \bigg) }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ 36 = 10y + 2y }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ 36 = 12y }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ \dfrac{36}{12} = y }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ \cancel\dfrac{36}{12} = y }}}} \\ \\ \\ \ {\qquad \; \; {\therefore \; {\underline{\boxed{\pmb{\purple{\frak{ y = 3 }}}}}}}}$

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✯ Calculating the Dimensions :

• Length = 5y = 5(3) = 15 cm
• Breadth = y = 3 cm

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✯ Therefore :

❛❛ Length of the Rectangle is 15 cm and its Breadth is 3 cm . ❜❜

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