A rectangular field has its length and breadth in the ratio 5 : 3…

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.

$Rs\ 4000$

Let the length and breadth be $5x$ and $3x$ Area $= 3.75$ hectares $= 3.75 \times 10000 = 37500.00sq.meter$
$\therefore 3x$
$\times$
$5x = 37500$
$\Rightarrow 15x^2= 37500$
$\Rightarrow 15x^2= 37500$
$\Rightarrow x^2= 2500$
$\Rightarrow x= 2500$
$\Rightarrow x = 50$
$\therefore$ length $= 5 \times 50 = 250m$ Breadth $= 3 \times 50 = 150m$ Perimeter of the field $= 2(l + b) = 2(250 + 150) \Rightarrow 2(250 + 150) \Rightarrow 2 \times 400 = 800m$
$\therefore$ Cost of fancing $=800 \times 5 = Rs. 4000$

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