find the area of path running inside if the square field of 10m and width of path is 2 m. find the cost of leveling at rs 2.50 per sq metre.

Then, area of the field = ${10}^{2}=100{\mathrm{m}}^{2}$

Width of the path inside the field = 2 m

Then, each side of the field excluding path = 10 - 2 - 2 = 6 m

So, area of the field excluding path = ${6}^{2}=36{\mathrm{m}}^{2}$

Therefore, area of the path = area of the field excluding path - area of the field = $100{\mathrm{m}}^{2}-36{\mathrm{m}}^{2}=64{\mathrm{m}}^{2}$

Cost of levelling per square metre = Rs.2.50

So, total cost of levelling the path = $64\times 2.50=$Rs.160

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