A rectangular field has its length and breadth in the ratio 5 : 3. Its area is. $3.75$ hectares. The cost of fencing it at $R s . 5$ per meter is

R s . 400

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R s . 4, 000

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R s . 1, 000

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R s . 500

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Solution

The correct option is B $R s . 4, 000$
Let length = $5 x$ , breadth = $3 x$ .
Area = $l \times b = 5 x \times 3 x = 15 x^{2}$
We have
$15 x^{2} = 3.75$ hectares
= $37500$ sq m
$(A s 1 h e c t a r e = 10, 000 s q m)$
$x^{2} = \frac{37500}{15} = 2500$
$x = 50 m$
Perimeter = $2 (l + b) = 2 (150 + 250) = 800 m$
Cost of fencing = $800 \times 5 = R s . 4000$

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A rectangular field has its length and breadth in the ratio 5 : 3. Its area is. 3.75 hectares. The cost of fencing it at Rs.5 per meter is

The correct option is B Rs.4,000Let length = 5x, breadth = 3x.Area = l×b=5x×3x=15x2We have15x2=3.75 hectares= 37500 sq m(As 1hectare=10,000sq m)x2=3750015=2500x=50mPerimeter = 2(l+b)=2(150+250)=800mCost of fencing = 800×5=Rs.4000

A rectangular field has its length and breadth in the ratio 5 : 3. Its area is. $3.75$ hectares. The cost of fencing it at $R s . 5$ per meter is