Question : A farmer's land is in the shape of a trapezium which has parallel sides measuring 7.58 yards and 6.42 yards and the distance between the parallel sides is 6.50 yards. The cost of ploughing the land is Rs. 2000 per square yard. What amount has to be spent in order to plough the entire land?
Option 1: Rs. 85000
Option 2: Rs. 91000
Option 3: Rs. 72000
Option 4: Rs. 102000
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Correct Answer: Rs. 91000
Solution :
We know, the area of a trapezium
= $\frac{\text{Sum of its parallel sides}\ ×\ \text{Distance between parallel sides}}{2}$
= $\frac{(7.58+6.42)\times(6.50)}{2}$
= $\frac{14\times6.50}{2}$
= 45.5 sq. yards
$\therefore$ Amount spent to plough land = 45.5 × 2000 = Rs. 91000
Hence, the correct answer is Rs. 91000.
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