Question
A rectangular plot of size 40 m (length) Â 20 m (width)
is to be grazed by a horse leaving a margin of 5 m from all sides for growing plants and also its four sides are to be fenced having height 15m. What would be the total cost for grazing and fencing the plot if cost of grazing and fencing is Rs. 150 per sq. m and Rs. 200 per sq.m respectively?Solution
Length of the plot = 40 m & width of the plot = 20 m ∴ Length of the area to be grazed = 40 – (5 + 5) = 30 m and Width of the area to be grazed = 20 – (5 + 5) = 10 m ∴ Area to be grazed = 30 
 10 = 300 sq.m. ∴ Cost of grazing the plot = 300  150 = Rs. 45,000 Area of two sides to be fenced with length 40m = 2  40  15 = 1,200 sq m Area of two sides to be fenced with width 20m = 2  20  15 = 6,00 sq m Total area of the sides to be fenced = 1200 + 600 = 1800 sq m ∴ Cost of fencing the walls = 1800  200 = Rs. 3,60,000 Total cost = 45000 + 360000 = Rs. 4,05,000
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