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Question

The ost of cultivating a square field at the rate of Rs. 160 per hectare is Rs 1440. Find the cost of putting a fence around it at the rate of 75 paise per meter.

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Solution

given,

cost of cultivating the field is rs.160 per hectare is 1440

1 hectare = rs.160

? (be x hecatres) = rs.1440

x = Rs.1440*1 hectare

Rs.160

x = 9 hectares

hence cost of Rs1440 is for 9 hectares of land

now,

s be the side of the square field

area of the field =9hectares

s2 = 9*10000m2(but hectare is unit of area where 1hectare=10000m2)

s2=90000m2

s=300m

side of square field is 300m

fence is put along the perimeter of the field

perimeter of the field=4s

=4*300

=1200m

cost of fencing=cost per meter * perimeter

=75 paise * 1200m

=90000paise

cost of fencing=90000paise

(or)

cost of fencing=90000/100(here 1 rupee is 100 paise so we divide the derived amount by 100)

=Rs.900

thank you, :D hope you understood


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