Question : A farmer's land is in the shape of a trapezium which has its parallel sides measuring 6.32 yards and 7.68 yards and the distance between the parallel sides is 5.50 yards. The cost of ploughing the land is Rs. 1200 per square yard. What amount has to be spent to plough the entire land?
Option 1: Rs. 36,600
Option 2: Rs. 32,500
Option 3: Rs. 55,400
Option 4: Rs. 46,200
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Correct Answer: Rs. 46,200
Solution :
Given: The length of two parallel sides of a trapezium is 6.32 yards and 7.68 yards.
Distance between the parallel sides = 5.50 yards
We know, Area of a trapezium = $\frac{1}{2}$ × Sum of two parallel sides × Distance between the parallel sides
⇒ Area of a trapezium = $\frac{1}{2}×(6.32+7.68)×5.50=\frac{1}{2}×14×5.50=38.5$ square yard
The cost of ploughing the land is Rs. 1200 per square yard.
Total cost = 38.5 × 1200 = Rs. 46,200
Hence, the correct answer is Rs. 46,200.
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