11. The cost of cultivating a rectangular field at 35 per square meter is *71400. If the other the width
field is 40 m, find its length. Also, find the cost of fencing the field at 50 per meter.
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Step-by-step explanation:
otal cost of cultivating the field = Rs 71400
Rate of cultivating the field = Rs 35/m2
Area of the field=Total cost of cultivating the fieldRate of cultivating=Rs 71400Rs 35/m2=2040 m2
Let the length of the field be x m.
Area of the field = (Length × Width) m2=(x × 40) m2 =40x m2It is given that the area of the field is 2040 m2.⇒40x=2040⇒x=204040=51∴Length of the field = 51 m
Perimeter of the field = 2(l+b)
= 2(51+40) m
= 182 m
Cost of fencing 1 m of the field = Rs 50
Cost of fencing 182 m of the field = Rs (182×50)
= Rs 9100
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