A rectangular field costs Rs. 110 for levelli | vedclass

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Question

(C) The ratio of length to breadth is $11: 5$.Let the length be $11x$ and the breadth be $5x$.The cost of levelling is $Rs. 110$ at a rate of $50$ $pa

Vedclass · Accepted Answer

$22$

Vedclass · Answer

(C) The ratio of length to breadth is $11: 5$.Let the length be $11x$ and the breadth be $5x$.The cost of levelling is $Rs. 110$ at a rate of $50$ $paise$ (or $Rs. 0.50$) per square metre.Area of the rectangular field $= \frac{	ext{Total Cost}}{	ext{Rate}} = \frac{110}{0.50} = 220 	ext{ m}^2$.Since Area $= 	ext{length} 	imes 	ext{breadth}$, we have $11x 	imes 5x = 220$.$55x^2 = 220$.$x^2 = \frac{220}{55} = 4$.$x = 2$.Therefore, the length of the field $= 11x = 11 	imes 2 = 22 	ext{ m}$.

$A$ rectangular field costs $Rs. 110$ for levelling at $50$ $paise$ per square metre. If the ratio of length to breadth is $11: 5$, find the length of the field (in $m$).

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