MCQ
A rectangular field has its length and breadth in the ratio $5 : 3$ Its area is $3.75$ hectares The cost of fending it at $Rs. 5$ per metre is.
  • A
    $Rs. 400$
  • $Rs. 4000$
  • C
    $Rs. 1000$
  • D
    $Rs. 500$

Answer

Correct option: B.
$Rs. 4000$
B.  $Rs. 4000$
Solution:
Let the length and breadth of rectangle field is $5x$ and $3x$ respt and area $= 3.75$ hectars
We know that $1$ hectare $= 10000$ sq metes
Then area 37500 sq m Then Area $5x × 3x = 37500$
$⇒ 15x^2 = 37500$
$⇒ x^2 = 2500$
$⇒ x = 50$ Then length $5 × 50 = 250m$ and breadth $= 3 × 50 = 150m$
Than perimeter of rectangle field $=2(L + B) = 2(250 + 150) = 800m$
Then cost of fending $800 × 5 = 4000 Rs$

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