Respuesta :

Step-by-step explanation:

☄ [tex] \underline {\underline{ \text{Given}}} : [/tex]

  • Length of a park ( l ) = 55 m
  • Breadth of a park ( b ) = 35 m
  • Width running outside the park ( d ) = 2.5 m
  • Rate of paving the path with stones = Rs 120 per sq.metre

☄ [tex] \underline{ \underline{ \text{To \: find}}}: [/tex]

  • Area of the park
  • Cosy of paving the path with stones at Rs 130 per sq.metre

☄ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]

Part 1 : [tex] \boxed{\text{Area \:of \:a \:path \: running \:outside = 2d(l + b + 2d)}}[/tex]

plug the known values and simplify :

⟹ [tex] \sf{2 \times 2.5(55 + 35 + 2 \times 2.5)}[/tex]

⟹ [tex] \sf{5 \times 95}[/tex]

⟹ [tex] \sf{475 \: {m}^{2} }[/tex]

Part 2 : [tex] \boxed{ \sf{Total \: cost = Area \: of \: paths \: \times Rate}}[/tex]

⟹ [tex] \sf{475 \times 120}[/tex]

⟹[tex] \sf{Rs \: 57000}[/tex]

[tex] \purple{ \boxed{ \boxed{ \sf{ \tt{⟿ \: Our \: final \: answer : (i) = 475 \: {m}^{2} \: and \: (ii ) = Rs \: 57000}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day /night ツ

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