3. A rectangular park 50 m x 32 m is being renovated and a grass bed is laid as shown in the figure. Find the area of the grass bed if its width is 10 m. What will be the cost of fencing the park at the rate of 15 per m?
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Area of grass bed = 2040 sq m
cost of fencing = Rs 2460
length of park = 50 m
breadth of park = 32 m
area of park = 1600 sq m
length of park + bed = 50 + 10 + 10 = 70 m
breadth of park + bed = 32 + 10 + 10 = 52 m
Area of park + bed = 3640 sq m
area of grass bed = 3640 - 1600 = 2040 sq m
cost of fencing the park = perimeter * rate = Rs [ 2 ( l+b ) ] * 15 = Rs [ 2 * 82 ] * 15 = Rs [ 164 * 15 ] = Rs 2460
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