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If the parallel sides of the trapezium field are 80m and 20m. These sides meet the third side at the right angle. The length of the fourth side is 90m. If it costs Rs. 5 to plow per m2 of the field, find the total cost of plowing the field.

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15770

16770.5

19835

16635.5

answer is B.

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Detailed Solution

https://www.vedantu.com/question-sets/05dac8c8-839a-4f8d-aba5-a2b4659bf2db4029297069211508031.png

D B^{2} = D E^{2} + E B^{2}

90^{2} = D E^{2} + {(80 - 20)}^{2}

8100 - 3600 = D E^{2}

4500 = D E^{2}

DE = 67.082 m

DE = AC = 67.082 m

Area of trapezium = \frac{1}{2} (Sum of parallel sides) \times height

= \frac{1}{2} \times (20 + 80) (67.082)

= 3354.1 m^{2}

Cost of ploughing = Area \times Cost

= 3354.1 \times 5

= Rs . 16770.5

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