A field is in the shape of a trapezium whose parallel sides are 200 m and 400 m long, whereas each of the other two sides is 260 m long. What is the area (in m2) of the field?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 72000
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Understanding |
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Parallel sides are 200 m and 400 m long, whereas each of the other two sides is 260 m long. Area of trapezium = 1/2 × (Sum of length of parallel sides) × Height |
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Application |
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In the figure, Height of trapezium = DE = CF In triangle AED: DE = √[(260)2 – (100)2] = √57600 DE = 240 cm |
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Hence, Area of field = 1/2 × (200 + 400) × 240 = 72000 m2 |
