Math, asked by armyyyyyyyhg, 1 day ago

pls tell the answer ma'am or sir​

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Answered by Anonymous
44

Given :

  • Perimeter of the floor is 60 m .
  • Length is 4 times is Breadth

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To Find :

  • Find the Dimensions

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SolutioN :

 \dag Formula Used :

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

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 \dag According to the Question :

 \longmapsto Let the Breadth be y m .So :

 \qquad \; {\qquad{\sf{ Breadth = y \; m }}}

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 \longmapsto Length is 4 times the Breadth .So :

 \qquad \; {\qquad{\sf{ Length = 4y \; m }}}

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 \dag Calculating the Value of y :

 {\longmapsto{\sf{ \; \; Perimeter = 2 \bigg( Length + Breadth \bigg) }}} \\ \\ \\ \ {\longmapsto{\sf{ \; \; 60 = 2 \bigg( y + 4y \bigg) }}} \\ \\ \\ \ {\longmapsto{\sf{ \; \; 60 = 2  \times 5y }}} \\ \\ \\ \ {\longmapsto{\sf{ \; \; 60 = 10y }}} \\ \\ \\ \ {\longmapsto{\sf{ \; \; \dfrac{60}{10} = y }}} \\ \\ \\ \ {\longmapsto{\sf{ \; \; \cancel\dfrac{60}{10} = y }}} \\ \\ \\ \ {\longmapsto \; {\underline{\boxed{\pmb{\sf{ y = 6 }}}}}} \; {\purple{\pmb{\bigstar}}} \\ \\ \\ \

 \dag Calculating the Domensions :

  • Breadth = y = 6 m
  • Length = 4y = 4(6) = 24 m

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 \therefore \; Length of the Rectangle is 6 m and its Breadth is 24 m .

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