6. Cost of leveling and turning a square lawn @ of Rs. 2.50m’ is Rs. 13322.50. Find the cost of fencing it @ Rs. 5 per meter. [Rs
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Gɪᴠᴇɴ :-
Tᴏ Fɪɴᴅ :-
Fᴏʀᴍᴜʟᴀ ᴜsᴇᴅ :-
Sᴏʟᴜᴛɪᴏɴ :-
→ Rate of Leveling = Rs.2.5 / m
→ Total cost = Rs.13322.5
→ Area of Square = (Total Cost) / (Rate) = (13322.5)/2.5 = 5329m².
So,
→ Side of Square = √(Area) = √(5329) = 73m.
_________________
Now,
→ Side of Square = 73m.
→ Perimeter of Square = 73 * 4 = 292m.
Therefore,
→ Rate of fencing = Rs.5/m.
→ Total cost of fencing = 5*292 = Rs.1460 (Ans.)
Hence, Total cost of Fencing is Rs.1460.
➠ Rate of levelling = ₹2.5/m
➠Total cost = ₹13322.5
➠ Area of square = (Total cost/Rate)
➠Area of square = 13322.5/2.5
➠Area of square = 5329m²
Then,
➠Each side of square = √5329
➠ Each side of square = 73 m
Now,
➠Perimeter of the square = 73 × 4
➠Perimeter of the square = 292m
So,
➠Rate of Fencing = ₹ 5/m
➠Total cost of Fencing = 5 × 292 m
➠Total cost of Fencing = ₹1460