a rectangular field is 4times as long as it is broad,the cost of levelling it a 10 paise is rupees 313.60.Find the dimensions of the field
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Step-by-step explanation:
Cost of levelling =Rs.15 per square meter
Let A be the area of lawn.
Therefore,
Cost of levelling lawn =15×A=Rs.19,935(Given)
⇒A=
15
19935
=1329m
2
As we know that,
Area of square =a
2
Here a is the edge length of square.
Since, lawn is in square form.
Therefore,
Side length of square (a)=
A
=
1329
=36.45m
Perimeter of square =4a=4×36.45=145.82m
Now,
Cost of fencing =Rs.22 per meter
Therefore,
Cost of fencing lawn =22×145.82≈Rs.3208
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