Question

a rectangular field has 80 length and weight in the ratio 5 ratio 3 if the area is 3.75 hakta the cost of fencing it at rupees 5 per m is


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Answer 1

$\huge \bf \red{Question:}$

A rectangular field has 80 length and weight in the ratio 5 ratio 3 if the area is 3.75 hectare the cost of fencing it at rupees 5 per m is

$\huge \bf \red{Answer:}$

Let the length and breadth of rectangle field is 5x and 3x respt and area = 3.75 hectars

$\tt{1 \: hectare \: \longmapsto \: 10000m^2}$

$\tt{3.75 \: hectare \: \longrightarrow \: 37500m^2}$

$\tt{Ratio \: of \: length \: and \: breadth \: is \: 5:3}$

$\tt{Let \: their \: common \: factor \: be \: x}$

$\tt{then \: length \: = \: 5x \: and \: breadth \: = \: 3x}$

$\tt{Area \: of \: rectangular \: field \: is \: length × breadth}$

$\tt{37500 = 5x × 3x}$

$\tt{37500=15x^2}$

$\tt{Cost \: of \: fencing \: per \: meter \: = Rs. 5}$

$\tt{Total \: perimeter = 800m}$

$\tt{Total \: cost \: of \: fencing = 800×5}$

$\tt{= Rs.4000}$

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