Math, asked by sarlakoul111, 4 months ago

Find the cost of fencing a rectangular park of length 175 cm and breadth 125 m at the rate of ₹12 per meter ?

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Answers

Answered by CɛƖɛxtríα
48

{\underline{\underline{\bf{Given:}}}}

  • Length of a rectangular park = 175 m.
  • Breadth of the rectangular park = 125 m.
  • Cost of fencing per metre = 12/-

{\underline{\underline{\bf{Need\:to\:find:}}}}

  • The cost of fencing the park.

{\underline{\underline{\bf{Formula\:to\:be\:used:}}}}

\underline{\boxed{\sf{{Perimeter}_{[Rectangle]}=2(l+b)\:units}}}

{\underline{\underline{\bf{Solution:}}}}

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎The fencing will always be done in the boundaries of any park/field. In our question, we are asked to find the cost of fencing a rectangular park. So, first the measure of boundary of the park should be found. And it's the perimeter of the park. Cost of fencing can be found by multiplying the perimeter of the park with cost of fencing per metre.

Perimeter of the park:

\rightarrow{\sf{2(l+b)\:units}}

By inserting the given measures,

\:\:\:\:\:\:\:\:\:\implies{\sf{2\times (175+125)}}

\:\:\:\:\:\:\:\:\:\implies{\sf{2\times 300}}

\:\:\:\:\:\:\:\:\:\implies\underline{\sf{600\:m}}

* Cost of fencing:

\longrightarrow{\sf{Perimeter\:(park)\times Cost\:per\: metre}}

\:\:\:\:\:\:\:\:\:\implies{\sf{600\times 12}}

\:\:\:\:\:\:\:\:\:\implies{\sf{\red{\underline{\underline{7,200/-}}}}}

{\underline{\underline{\bf{Required\:answer:}}}}

  • Therefore, 7,200/- is required to fence the park.

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Answered by Anonymous
5

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